Question

Simplify.

(7^2)^4 divide by 7^8

A. 7
B. 1
C. 7^-2
D. 7^2

Answer 1

To simplify \((7^2)^4 \div 7^8\), we can start by simplifying each part.

1. Simplify \((7^2)^4\):
\[
(7^2)^4 = 7^{2 \cdot 4} = 7^8
\]

2. Now replace in the original expression:
\[
7^8 \div 7^8
\]

3. Using the property of exponents \(\frac{a^m}{a^n} = a^{m-n}\):
\[
7^8 \div 7^8 = 7^{8-8} = 7^0
\]

4. Since \(7^0 = 1\), we have:
\[
7^0 = 1
\]

Thus, the simplified form of \((7^2)^4 \div 7^8\) is \(\boxed{1}\).

Answer 2

is it a b c or d

Answer 3

The simplified result of \((7^2)^4 \div 7^8\) is \(1\), which corresponds to option **B**.

Answer 4

can u double check

Answer 5

Absolutely, let's go through the simplification step-by-step once more:

1. Start with the expression:
\[
(7^2)^4 \div 7^8
\]

2. First, simplify \((7^2)^4\):
\[
(7^2)^4 = 7^{2 \cdot 4} = 7^8
\]

3. Now substitute this back into the expression:
\[
7^8 \div 7^8
\]

4. Next, apply the rule of exponents \(a^m \div a^n = a^{m-n}\):
\[
7^8 \div 7^8 = 7^{8-8} = 7^0
\]

5. Since \(7^0 = 1\):
\[
7^0 = 1
\]

Thus, the final result is indeed \(1\).

So confirming again, the answer corresponds to option **B**.