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3 years ago

ALGEBRA HELP !!!!! Which of the following is the simplest form of this expression? —photo attached

Mathematics

1 answer:

sasho [114]3 years ago

4 0

$\displaystyle \frac{ \sqrt[5]{a^4}}{ \sqrt[3]{a^2}}= \frac{a^{\frac{4}{5}}}{a^{\frac{2}{3}}}=a^{\frac{4}{5}- \frac{2}{3}}=a^{\frac{12-10}{15}}=\boxed{a^{\frac{2}{15}}}$

Answer is: A. a^(2/15)

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What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ?

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ANSWER

$y = 5x + 6$

EXPLANATION

The given equation is

$y = 5x - 7$

The slope of this line is

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3 years ago

(1/3+5/6)*m ( let m=1/4

olga55 [171]

Answer:

The value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Step-by-step explanation:

Considering the expression

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$m=\frac{1}{4}$

As the expression is

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

Putting $m=\frac{1}{4}$ in the given expression would bring:

$\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}$

$\mathrm{Join}\:\frac{1}{3}+\frac{5}{6}:\quad \frac{7}{6}$

$=\frac{7}{6}\cdot \frac{1}{4}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{7\cdot \:1}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:7\cdot \:1=7$

$=\frac{7}{6\cdot \:4}$

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:4=24$

$=\frac{7}{24}$

Therefore, the value of $\left(\frac{1}{3}+\frac{5}{6}\right)\cdot m$ when $m=\frac{1}{4}$ would be:

$\left(\frac{1}{3}+\frac{5}{6}\right)\frac{1}{4}=\frac{7}{24}$

Keywords: algebraic expression

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