How to add exponents - ISEE Upper Level (grades 9-12) Quantitative Reasoning
Card 0 of 3
Two quantities are given - one in Column A and the other in Column B. Compare the quantities in the two columns.
Assume, in both columns, that 
.
Column A Column B
Two quantities are given - one in Column A and the other in Column B. Compare the quantities in the two columns.
Assume, in both columns, that
Column A Column B
When you are adding and subtracting terms with exponents, you combine like terms. Since both columns have expressions with the same exponent throughout, you are good to just look at the coefficients. Remember, a coefficient is the number in front of a variable. Therefore, Column A is 
since 
. Column B is 
since 
. We can see that Column B is greater.
When you are adding and subtracting terms with exponents, you combine like terms. Since both columns have expressions with the same exponent throughout, you are good to just look at the coefficients. Remember, a coefficient is the number in front of a variable. Therefore, Column A is
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Which is the greater quantity?
(A) The sum of the first ten perfect square integers
(B) The sum of the first five perfect cube integers
Which is the greater quantity?
(A) The sum of the first ten perfect square integers
(B) The sum of the first five perfect cube integers
The sum of the first ten perfect square integers:
The sum of the first five perfect cube integers:
(A) is greater.
The sum of the first ten perfect square integers:
The sum of the first five perfect cube integers:
(A) is greater.
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Add all of the perfect squares between 50 and 100 inclusive.
Add all of the perfect squares between 50 and 100 inclusive.
The perfect squares between 50 and 100 inclusive are
Their sum is 
The perfect squares between 50 and 100 inclusive are
Their sum is
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