How to find a rational number from an exponent - GRE Quantitative Reasoning
Card 0 of 5
Quantity A: 
Quantity B: 
Quantity A:
Quantity B:
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
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Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
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Anything raised to negative power means 
over the base raised to the postive exponent.
Anything raised to negative power means
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Simplify
Simplify
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a 
.
We have 
.
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of 
.
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a
We have
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of
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Which of the following is not the same as the others?
Which of the following is not the same as the others?
Let's all convert the bases to 
.
This one may be intimidating but 
.
Therefore,
is not like the answers so this is the correct answer.
Let's all convert the bases to
Therefore,
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