Question

(4xy^2)^3(xy)^5

Answer 1

this can be written in expanded form as

\[4^3 \times x^3 \times(y^2)^3 \times x^5 \times y^5\]

the 2 index laws you need to use are

1. Multiplying the same base, add the powers.

\[x^a \times x^b = x^{a + b}\]

2. Power of a power... multiply the powers

\[(x^a)^b = x^{a \times b}\]

and

4^3 can be evaluated

hope this helps.

Answer 2

Thank you so much!! I missed a lot due to an accident and I missed the part where my teacher explains multiplying the exponents and stuff. Thanks again:)