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andreev551 [17]
3 years ago
15

Drag expressions to complete each equation.

Mathematics
1 answer:
vekshin13 years ago
6 0

a^{-b} =\frac{1}{a^{b}}

\frac{a^{b}}{a^{c}} = a^{b-c}

\frac{a^{c}}{b^{c}} =(\frac{a}{b} )^{c}


When you have a negative exponent, you move the variable with the negative exponent to the opposite side of the fraction to make the exponent positive.

For example:

x^{-2} =\frac{1}{x^{2}}

\frac{1}{x^{-2}} =\frac{x^{2}}{1}  or  x^{2}


When you have an exponent divided by an exponent, you subtract the exponents together.

For example:

\frac{x^5}{x^2} =x^{5-2} =x^3

\frac{x^2}{x^1} = x^{2-1} = x^1


When you multiply an exponent directly into a variable with an exponent, you multiply the exponents together.

For example:

(x^{2} )^{4} = x^8

(\frac{x^2}{y^3} )^5=\frac{x^{10}}{y^{15}}

(\frac{x^1}{y^1} )^b = \frac{x^b}{y^b}

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