Question

Simplify
`{6}^(5) {7}^(3){2}`What's the Answer ♀️?

Answer 1

`\lbrack(6^(10))/(7^6)\rbrack`

Step-by-step explanation:

Given:

`\lbrack(6^5)/(7^3)\rbrack^2`
`\begin{gathered} \lbrack(6^5)/(7^3)\ast(6^5)/(7^3)\rbrack \\ \text{law of indices:} \\ \lbrack(A^x)/(B^x)\rbrack^y\text{ = }\lbrack(A^(x\ast y))/(B^(x\ast y))\rbrack \end{gathered}`
`=\text{ }\lbrack(6^(5\ast2))/(7^(3\ast2))\rbrack\text{ = }\lbrack(6^(10))/(7^6)\rbrack`