How to use the power rule for exponents in pre-algebra - High School Math
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Simplify the exponential expression below.
Simplify the exponential expression below.
The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.
The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.
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Simplify:
Simplify:
To get rid of the negative exponent, find the inverse of 
, which is 
.
, so the final answer is 
.
To get rid of the negative exponent, find the inverse of
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According to the power rule of exponents, you multiply the exponents when you raise a power to a power.
According to the power rule of exponents, you multiply the exponents when you raise a power to a power.
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What is the value of 
?
What is the value of
The power rule says that an exponent to the power of another exponent gets multiplied. We can think of 
as 
, in which case we see that the answer is 
because multiplying the same numbers with different exponents adds the exponents.
The power rule says that an exponent to the power of another exponent gets multiplied. We can think of
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Simplify the expression.
Simplify the expression.
The power rule of exponents states than an exponential term raised to another exponent can be simplified by multiplying the exponents together.
The power rule of exponents states than an exponential term raised to another exponent can be simplified by multiplying the exponents together.
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Simplify 
.
Simplify
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
If you think about it 
is equivalent to 
So we multiply 
by 
to get the power of the answer 
The answer is 
.
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
If you think about it
So we multiply
The answer is
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What is 
simplified?
What is
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply 
by 
to get the power of the answer as 
.
The answer is 
.
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply
The answer is
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What is 
simplified?
What is
When raising a polynomial to a power, you multiply the exponent inside the parentheses by the power outside of the parentheses.
So we multiply 
by 
to get the power of the answer, which is 
.
The answer is 
.
When raising a polynomial to a power, you multiply the exponent inside the parentheses by the power outside of the parentheses.
So we multiply
The answer is
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Simplify 
Simplify
When raising an exponent to another exponent you multiply the exponent inside the parentheses by the exponent outside of the parentheses.
So we multiply 
by 
to get the final exponent, which is 
.
The answer is 
.
When raising an exponent to another exponent you multiply the exponent inside the parentheses by the exponent outside of the parentheses.
So we multiply
The answer is
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Simplify 
.
Simplify
When raising a polynomial to a power, multiply the polynomial inside the parentheses by the power outside of the parentheses.
We multiply 
by 
to get the power of the answer, 
.
The answer is 
.
When raising a polynomial to a power, multiply the polynomial inside the parentheses by the power outside of the parentheses.
We multiply
The answer is
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According to the power rule for exponents, we can simplify 
and
According to the power rule for exponents, we can simplify
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Which of the following is equivalent to 
?
Which of the following is equivalent to
When an exponent expression is raised by another exponent, you can multiply the exponents:
When an exponent expression is raised by another exponent, you can multiply the exponents:
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What is the value of 93?
What is the value of 93?
Exponents are a way of expressing the repeated multiplication of the same value. An exponent describes how many times a value is to be multiplied by itself.
Exponents are a way of expressing the repeated multiplication of the same value. An exponent describes how many times a value is to be multiplied by itself.
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Which of the following is an alternate positive expression of 4-3?
Which of the following is an alternate positive expression of 4-3?
You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.
You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.
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Simplify:
Simplify:
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply 
by 
to get the power of the answer, 
.
The answer is 
.
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply
The answer is
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Which of the following is equivalent to:
?
Which of the following is equivalent to:
Recall that when we have the exponent of an expression with an exponent, as in this case, we multiply these exponents. Thus, we have that:
Recall that when we have the exponent of an expression with an exponent, as in this case, we multiply these exponents. Thus, we have that:
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Simplify 
Simplify
When raising a power to a power, multiply the power inside the parentheses by the power outside the parentheses. In this case, multiply 
by 
to find the power of the answer, 
.
When raising a power to a power, multiply the power inside the parentheses by the power outside the parentheses. In this case, multiply
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