Question

Write (625)-1/4 in decimal form. where -1/4 is exponent pls do it fast

Answer 1

Answer:

= 0.2

Step-by-step explanation:

Given that ,

$(625)^{\frac{-1}{4} }$.

To find the value in decimal form.

So,

$(625)^{\frac{-1}{4} } \\ \\ = > (\frac{1}{625}) ^{\frac{1}{4} }$

( reciprocal of fraction changes the sign of power )

$\bold{=>(\frac{1}{5*5*5*5})^{\frac{1}{4}}}$

$\bold{=> \frac{1}{5}}$

$\bold{\therefore , \underline{(625)^{-1/4}= 0.2}}$

Therefore, the value of given question is 0.2

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Answer 2

(625)-1/4 in decimal form is, 0.2.

What is decimal form?

• A decimal is a fraction written in a special form.
• Instead of writing 1/2, for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place.
• Decimal comes from the Latin word decimus, meaning tenth, from the root word decem, or 10.

According to the question:

$(625)^{\frac{-1}{4}}$

To find the value in decimal form.

So,

$\begin{aligned}&(625)^{\frac{-1}{4}} \\&= > \left(\frac{1}{625}\right)^{\frac{1}{4}}\end{aligned}$

Reciprocal of fraction changes the sign of power:

$= > \left(\frac{1}{5 * 5 * 5 * 5}\right)^{\frac{1}{4}} = > \frac{1}{5}$

Therefore,   $(625)^{-1 / 4}=0.2$.

Hence, the value of (625)-1/4  is 0.2.

Learn more about decimal form here,

https://brainly.in/question/5949994?msp_poc_exp=5

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