Question

Find the product.

(y 2)5 · y 8

Answer 1

Is that

\[(y ^{2})^{5}.y ^{8}\]

Answer 2

yes

Answer 3

You use the power rule which says:
\[\large (x^a)^b = x^{a \times b} \]

And then use the multiplication power rule with the same exponents:
\[\large a^b \times a^c = a^{b+c} \]

Answer 4

Sorry i meant the same bases.

Answer 5

So you have:
\[\large (y^2)^5 = y^{2 \times 5} = y^{10}\]

And then:
\[\large y^{10}\times y^8 = y^{10 + 8} = y^{18} \]