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)
$(x^m)^n=x^{mn}$
$(abc)^m=(a^m)(b^m)(c^m)$
$\frac{x^m}{x^n} =x^{m-n}$
$(x^m)(x^n)=x^{m+n}$


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.
$\frac{a^2b^8}{ab^5}=( \frac{a^2}{a^1} )( \frac{b^8}{b^5} ) =ab^3$