How do you evaluate the expression ${[{(\frac{1}{3})}^{- 2}]}^{3}$ $[(1/3)^-2]^3$ using the properties?

Question

How do you evaluate the expression ${[{(\frac{1}{3})}^{- 2}]}^{3}$ $[(1/3)^-2]^3$ 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

2739 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-11T18:38:36

$3^{6}$ $3^6$

Explanation:

${[{(\frac{1}{3})}^{- 2}]}^{3}$ $[(1/3)^-2]^3$
${(\frac{1}{3})}^{- 2 \cdot 3} = {(\frac{1}{3})}^{- 6} = {(\frac{1^{1}}{3^{1}})}^{- 6} = \frac{{(1^{1})}^{- 6}}{{(3^{1})}^{- 6}}$ $(1/3)^(-2 *3) = (1/3)^-6 = (1^1/3^1)^-6 = (1^1)^-6 / (3^1)^-6$
$= \frac{1^{- 6}}{3^{- 6}} = \frac{\frac{1}{1^{6}}}{\frac{1}{3^{6}}} = 1 \cdot \frac{3^{6}}{1} = 3^{6}$ $= 1^-6 / 3^-6 = (1/1^6) / (1/3^6) = 1*3^6/1 = 3^6$

Science

Math

Humanities

... and beyond

How do you evaluate the expression ${[{(\frac{1}{3})}^{- 2}]}^{3}$ $[(1/3)^-2]^3$ using the properties?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you evaluate the expression [(13)−2]3[(1/3)^-2]^3 using the properties?

1 Answer

Explanation:

Related questions

Impact of this question

How do you evaluate the expression ${[{(\frac{1}{3})}^{- 2}]}^{3}$ $[(1/3)^-2]^3$ using the properties?