Mathematics, 30.01.2020 23:45 angie2118

11. simplify (6x^-2)^2 (0.5x)^4 show your work

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Answer from: ralphmillerrr

Hope this helps you.

11. simplify (6x^-2)^2 (0.5x)^4 show your work

Answer from: tanichka2314

The simplified form of ${\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}$ is $\boxed{\frac{9}{4}{\text{ or 2}}{\text{.25}}}.$

Further explanation:

Given:

The expression is ${\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}.$

Explanation:

The expression ${\text{A}} = {\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}.$

Solve the given expression to obtain the simplified form.

$\begin{aligned}{\text{A}} &= {\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}\\&= {6^2}{x^{ - 2 \times 2}} \times \frac{1}{{{2^4}}}{x^4}\\&= \frac{{36}}{{{x^4}}} \times \frac{1}{{16}}{x^4}\\&= \frac{{36{x^4}}}{{16{x^4}}}\\\end{aligned}$

Further solve the above equation.

$\begin{aligned}{\text{A}}&= \frac{{36{x^4}}}{{16{x^4}}}\\&= \frac{9}{4}\\&= 2.25\\\end{aligned}$

The simplified form of ${\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}$ is $\boxed{\frac{9}{4}{\text{ or 2}}{\text{.25}}}.$

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters?

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Polynomial

Keywords: simplified, exponents, power, 6x^-2 , work, exponents and power, expression.

Answer from: jstamey757

The simplified form of ${\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}$ is $\boxed{\frac{9}{4}{\text{ or 2}}{\text{.25}}}.$

Further explanation:

Given:

The expression is ${\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}.$

Explanation:

The expression ${\text{A}} = {\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}.$

Solve the given expression to obtain the simplified form.

Further solve the above equation.

$\begin{aligned}{\text{A}}&= \frac{{36{x^4}}}{{16{x^4}}}\\&= \frac{9}{4}\\&= 2.25\\\end{aligned}$

The simplified form of ${\left( {6{x^{ - 2}}} \right)^2}{\left( {0.5x} \right)^4}$ is $\boxed{\frac{9}{4}{\text{ or 2}}{\text{.25}}}.$

Learn more:

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Polynomial

Keywords: simplified, exponents, power, 6x^-2 , work, exponents and power, expression.

Answer from: Quest

there are no figures how am i supposed to answer this question

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

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11. simplify (6x^-2)^2 (0.5x)^4 show your work...

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