Question #57178

1: Which of the following are true statements about the expression 12^5
Check all that apply.

: 12 is the exponent and tells us how many times we should multiply 5 by itself.
: 12 is the base
: 5 is the base
: 5 is the exponent and tells us how many times we should multiply 12 by itself.


2: If n√a = r , then which of the following are true statements?
Check all that apply.

a^r = n
a^1/n = r
n^1/r = a
r^n = a

Expert's answer

Answer on Question #57178 – Math – Algebra

Question

1. Which of the following are true statements about the expression 12512^5

Check all that apply.

: 12 is the exponent and tells us how many times we should multiply 5 by itself.

: 12 is the base

: 5 is the base

: 5 is the exponent and tells us how many times we should multiply 12 by itself.

Solution

1. 12 is the exponent and tells us how many times we should multiply 5 by itself – False.

2. 12 is the base – True.

3. 5 is the base – False.

4. 5 is the exponent and tells us how many times we should multiply 12 by itself – True.

Answer:

1. 12 is the base – True.

2. 5 is the exponent and tells us how many times we should multiply 12 by itself – True.

Question

2. If an=r\sqrt[n]{a} = r, then which of the following are true statements? Check all that apply.


ar=na1n=rn1r=arn=a\begin{array}{l} a^r = n \\ a^{\frac{1}{n}} = r \\ n^{\frac{1}{r}} = a \\ r^n = a \\ \end{array}


Solution

1. ar=na^r = n – False.

2. a1n=ra^{\frac{1}{n}} = r – True.

3. n1r=an^{\frac{1}{r}} = a – False.

4. rn=ar^n = a – True.

Answer:

1. a1n=ra^{\frac{1}{n}} = r – True.

2. rn=ar^n = a – True.

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