Simplify (79)8\left(7^{9}\right)^{8}(7

Question

9
)
8
. Write your answer in exponential form. (Example: 525^25
2
not 252525 ). Click Here for Help Video

Answer 1

To simplify the expression \((79)8(7^{9})^{8}(79)8\), we need to clarify and interpret it correctly.

Let's break it down step by step:

1. The notation \((79)8\) could mean \(79^8\).
2. The notation \((7^{9})^{8}\) uses the power of a power rule of exponents, which means we multiply the exponents: \[ (7^{9})^{8} = 7^{9 \cdot 8} = 7^{72}. \]

Thus, we can rewrite the expression as: \[ 79^{8} \cdot 7^{72} \cdot 79^{8}. \]

3. Now, combine \(79^8\) terms: \[ 79^{8} \cdot 79^{8} = 79^{8 + 8} = 79^{16}. \]

4. Now the complete expression is: \[ 79^{16} \cdot 7^{72}. \]

Therefore, the simplified expression in exponential form is: \[ 79^{16} \cdot 7^{72}. \]