Answer:
LAWS OF EXPONENTS
I. Product Of Powers
If the expressions multiplied have the same base, add the exponents.
x^{a} \: • \: x ^{b} = x^{a+b}x
a
•x
b
=x
a+b
II. Power Of A Power
If the expression raised to a number is raised by another number, multiply the exponents.
(x^{a})^{b} = x^{ab}(x
a
)
b
=x
ab
III. Power Of A Product
If the multiplied expressions is raised by a number, multiply exponents then multiply the expressions.
\begin{gathered}(x^{a}x^{b})^{c} = x^{ac} \: x^{bc} \\ (xy)^{a} = x^{a} y^{a}\end{gathered}
(x
a
x
b
)
c
=x
ac
x
bc
(xy)
a
=x
a
y
a
IV. Quotient Of Power
If the ratio of two expressions is raised to a number, then
Case 1. \displaystyle \frac{x^{a}}{x^{b}} = \displaystyle x^{a+b}
x
b
x
a
=x
a+b
, where a > b.
Case 2. \displaystyle \frac{x^{a}}{x^{b}} = \displaystyle \frac{1}{x^{b-a}}
x
b
x
a
=
x
b−a
1
, where a < b
Step-by-step explanation:
i hope it's help
