Which fraction is equal to 1? answers are 1/8 3/8 7/8 8/8

Mathematics

2 answers:

diamong [38]3 years ago

4 0

Answer:

8/8

Step-by-step explanation:

8/8 means 8 divided by 8 so 8 ÷ 8 =1.

photoshop1234 [79]3 years ago

3 0

Answer:

Step-by-step explanation:

8/8 is equal to 1

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Which of the following is the simplified form of fifth root of x times the fifth root of x times the fifth root of x times the f

lions [1.4K]

Answer:

Simplified form of fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x is $\sqrt[5]{x^{4}}$

Solution:

Need to find simplified form of fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x. That is need to find simplified form of following expression.

$\sqrt[5]{x} \times \sqrt[5]{x} \times \sqrt[5]{x} \times \sqrt[5]{x}$

$\text { since } \sqrt[n]{a}=(a)^{\frac{1}{n}}$ we get

$=>(x)^{\frac{1}{5}} \times(x)^{\frac{1}{5}} \times(x)^{\frac{1}{5}} \times(x)^{\frac{1}{5}}$

Now using law of exponent that is $\mathrm{a}^{\mathrm{m}} \times \mathrm{a}^{\mathrm{n}}=\mathrm{a}^{\mathrm{m}+\mathrm{n}}$

$\begin{array}{l}{\Rightarrow(x)^{\frac{1}{5}} \times(x)^{\frac{1}{5}} \times(x)^{\frac{1}{5}} \times(x)^{\frac{1}{5}}} \\\\ {=(x)^{\frac{1}{5}+\frac{1}{5}} \times(x)^{\frac{1}{5}}} \\\\ {=(x)^{\frac{2}{5}} \times(x)^{\frac{2}{5}}} \\\\ {=(x)^{\frac{2}{5}} \times(x)^{\frac{2}{5}}} \\\\ {=(x)^{\frac{2}{5} +\frac{2}{5} \\\\ {=(x)^{\frac{4}{5}}}\end{array}$

Using another law of exponent that is $(a)^{m \times n}=\left((a)^{m}\right)^{n}$ we get

$\begin{array}{l}{(x)^{\frac{4}{5}}=(x)^{4 \times \frac{1}{5}}=\left((x)^{4}\right)^{\frac{1}{5}}} \\\\ {\left((x)^{4}\right)^{\frac{1}{5}}=\sqrt[5]{x^{4}}}\end{array}$