How do you simplify the expression ${(4^{0} w^{2})}^{- 5}$ $(4^0w^2)^-5$ using the properties?

Question

How do you simplify the expression ${(4^{0} w^{2})}^{- 5}$ $(4^0w^2)^-5$ using the properties?

1 Answer

Related questions

What is the quotient of powers property?
How do you simplify expressions using the quotient rule?
What is the power of a quotient property?
How do you evaluate the expression ${(\frac{2^{2}}{3^{3}})}^{3}$ $(2^2/3^3)^3$ ?
How do you simplify the expression $\frac{a^{5} b^{4}}{a^{3} b^{2}}$ $\frac{a^5b^4}{a^3b^2}$ ?
How do you simplify ${(\frac{a^{3} b^{4}}{a^{2} b})}^{3}$ $((a^3b^4)/(a^2b))^3$ using the exponential properties?
How do you simplify $\frac{{(3 a b)}^{2} {(4 a^{3} b^{4})}^{3}}{{(6 a^{2} b)}^{4}}$ $\frac{(3ab)^2(4a^3b^4)^3}{(6a^2b)^4}$ ?
Which exponential property do you use first to simplify $\frac{(2 a^{2} b c^{2}) (6 a b c^{3})}{4 a b^{2} c}$ $\frac{(2a^2bc^2)(6abc^3)}{4ab^2c}$ ?
How do you simplify $\frac{x^{5} y^{8}}{x^{4} y^{2}}$ $(x^5y^8)/(x^4y^2)$ ?
How do you simplify ${[\frac{2^{3} \cdot - 3^{2}}{2^{4} \cdot 3^{- 2}}]}^{2}$ $[(2^3 *-3^2) / (2^4 * 3^-2)]^2$ ?

Impact of this question

1527 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-20T08:33:21

$\frac{1}{w^{10}}$ $1/w^(10)$

Explanation:

Using the $laws of exponents$ $color(blue)"laws of exponents"$

$∙ a^{0} = 1$ $• a^0=1$

$∙ {(a^{m})}^{n} = a^{m n}$ $• (a^m)^n=a^(mn)$

$∙ a^{- m} \Leftrightarrow \frac{1}{a^{m}}$ $• a^-mhArr1/a^m$

$\Rightarrow {(4^{0} w^{2})}^{- 5}$ $rArr(4^0w^2)^-5$

$= {(1 \times w^{2})}^{- 5} = {(w^{2})}^{- 5} = w^{- 10} = \frac{1}{w^{10}}$ $=(1xxw^2)^-5=(w^2)^-5=w^(-10)=1/w^10$

Science

Math

Humanities

... and beyond

How do you simplify the expression ${(4^{0} w^{2})}^{- 5}$ $(4^0w^2)^-5$ using the properties?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify the expression (40w2)−5(4^0w^2)^-5 using the properties?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify the expression ${(4^{0} w^{2})}^{- 5}$ $(4^0w^2)^-5$ using the properties?