Question

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Please help me with my homework.
Here's the math problem:
$\huge\bold{(2a^{2} )^{2} (bc^{2} )^{3} }$
Due today. Please do not spam.

Answer 1

$\sf \: ( {2a}^{2} )^{2} (bc^{2} )^{3}$

To raise a product to a power, raise each factor to that power

$\sf \: {4a}^{4} {b}^{3} {c}^{6}$

We have used the following laws of exponents here⤵️

• $\tt \: a^{m} \times {a}^{n} = {a}^{m + n}$
• $\tt \: ( {a}^{m} )^{n} = {a}^{m \times n}$

Answer 2

$4 {a}^{4} {b}^{3} {c}^{6}$ is the answer.

Explanation :-

Hey there

Lets solve this :-

$(2 {a}^{2})^{2}(bc^{2})^{3}$

$= > {2}^{2} \times (a^{2} )^{2}b^{3}( {c}^{2})^{3}$

$= > 4( {a}^{2})^{2} {b}^{3}(c^{2})^{3}$

$4 {a}^{4} {b}^{3} {c}^{6}$

Therefore $4 {a}^{4} {b}^{3} {c}^{6}$is the answer