Question

} " alt="( {5}^{3} ) {}^{5} " align="absmiddle" class="latex-formula">
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$\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \large \boldsymbol{:}$ $\tt \huge \boldsymbol{} 5^{15}$

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

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

$({ {5}^{3}) }^{5}$

${5}^{5 \times 3}$

${5}^{15}$

Option A