Question

Can anyone please help?

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Answer 1

`\displaystyle{b^2 h^(12)}`

Explanation:

We can follow the certain rule of exponent:

`\displaystyle{\left(a_1 a_2 a_3 \dots a_n\right)^m = a^ma^(2m)a^(3m)\dots a^(nm)}`

So we will have:

`\displaystyle{\left(bh^5h\right)^2 = b^2 h^(5\cdot 2) h^2}`

Simplify:

`\displaystyle{\left(bh^5h\right)^2 = b^2 h^(10) h^2}`

Apply the power rule of exponent, same base with exponents; add exponents:

`\displaystyle{\left(bh^5h\right)^2 = b^2 h^(10+2)}\\\\\displaystyle{\left(bh^5h\right)^2 = b^2 h^(12)}`

Therefore, the answer is
`\displaystyle{b^2 h^(12)}`