Question

Find the product (y^2)^5 x y^8

Answer 1

`\Huge \boxed{xy^1^8}`

Explanation:

Exponent rule:
`\displaystyle (a^b)^c=a^b^c`

`\displaystyle y^2^*^5`

Multiply.

`\displaystyle 2*5=10`

`\displaystyle y^1^0^+^8`

Add.

`\displaystyle 10+8=18`

`\large \boxed{xy^1^8}`, which is our answer.

Answer 2

y^18

Explanation:

(y^2)^5 x y^8

Assuming the x is multiplication

We know (a^b)^c = a^(b*c)

(y^2)^5 = y^(2*5) = y^10

We are multiplying this by y^8

We know a^b * a^c = a^(b+c)

y^10* y^8 = y^(10+8) = y^18

Assuming the x is a variable

We know (a^b)^c = a^(b*c)

(y^2)^5 = y^(2*5) = y^10

We are multiplying this by y^8

We know a^b * a^c = a^(b+c)

y^10* y^8 = y^(10+8) = y^18

This is multiplies by x

x y^18