How do you simplify the expression ${[{(b^{9})}^{- 1}]}^{- 2}$ $[(b^9)^-1]^-2$ using the properties?

Question

How do you simplify the expression ${[{(b^{9})}^{- 1}]}^{- 2}$ $[(b^9)^-1]^-2$ 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

1347 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-30T16:26:44

See the entire simplification process below:

Explanation:

Use this rule of exponents to first simplify the bracketed term and then to simplify the term within the parenthesis:

${(x^{a})}^{b} = x^{a \times b}$ $(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))$

$[{(b^{9})}^{- 1})]^{- 2} = {(b^{9})}^{- 1 \times - 2} = {(b^{9})}^{2}$ $[(b^9)^color(red)(-1))]^color(blue)(-2) = (b^9)^(color(red)(-1) xx color(blue)(-2)) = (b^9)^2$

${(b^{9})}^{2} = b^{9 \times 2} = b^{18}$ $(b^color(red)(9))^color(blue)(2) = b^(color(red)(9) xx color(blue)(2)) = b^18$

Science

Math

Humanities

... and beyond

How do you simplify the expression ${[{(b^{9})}^{- 1}]}^{- 2}$ $[(b^9)^-1]^-2$ using the properties?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify the expression [(b9)−1]−2[(b^9)^-1]^-2 using the properties?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify the expression ${[{(b^{9})}^{- 1}]}^{- 2}$ $[(b^9)^-1]^-2$ using the properties?