Question

Exponents! Help Please!

Answer 1

ok, so just know some exponential laws
(ab)(cd)=(a)(b)(c)(d)=
(ab)/(cd)=(a/c)(b/d)

`(x^m)^n=x^(mn)`

`(abc)^m=(a^m)(b^m)(c^m)`

`(x^m)/(x^n) =x^(m-n)`

`(x^m)(x^n)=x^(m+n)`


5.
(3)(7)(y⁴)(y⁵)=21y⁹

7.
(b³)⁵=b¹⁵

9.
[(h⁵)³]⁷=[h¹⁵]⁷=h¹⁰⁵

11.
(-2xy³)⁵=(-2)⁵(x)⁵(y³)⁵=-32x⁵y¹⁵

13.
do the 2nd parenthasees first
(-2²y²)³=(-4y²)³=(-4)³(y²)³=-64y⁶
see rest
(3²x²y⁸)(-64)(y⁶)=(9)(x²)(y⁸)(-64)(y⁶)=-576x²y¹⁴

15.

`(a^2b^8)/(ab^5)=( (a^2)/(a^1) )( (b^8)/(b^5) ) =ab^3`