Question

`( {5}^(3) ) {}^(5)`

simplify the following expression. answer choices are - A. 5 to the 15th power B. 5 an -2 C. 5 to the 10th power. and D. 5 to the 8th​

Answer 1

Answer
`\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \large \boldsymbol{:}`
`\tt \huge \boldsymbol{} 5^(15)`

Explanation:

`\Large \boldsymbol {} \pmb {\ \ \ \huge\boxed{ \boxed{ \ \ \ (a^n)^m =a^(m* n )\ \ \ }} \ \ \ } \\\\\\\\ (5^3)^5=5^(3\cdot 5)=5^(15 )`

Answer 2

Explanation:

`({ {a}^(m)) }^(n) = {a}^(mn)`

`({ {5}^(3)) }^(5)`

`{5}^(5 * 3)`

`{5}^(15)`

Option A