Math, asked by 212mehulkansagara, 1 year ago

What is the answer of 0.04 rise to -1.5?

Answers

Answered by Vaiarathe
17

0.04^(-1.5)

= 0.04^(-3/2)

= (1/0.04) ^ (3/2)

= 25^(3/2)

= (25^(1/2))^3

= (5)^3

= 125


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Answered by TooFree
10

 0.04^{-1.5}

.

Write it in fraction form:

 = \bigg( \dfrac{4}{100} \bigg)^{-\frac{3}{2}}

.

Write in positive exponent:

 = \bigg( \dfrac{100}{4} \bigg)^{\frac{3}{2}}

.

Cube the fraction:

 = \bigg( \dfrac{(100)^3}{(4)^3} \bigg)^{\frac{1}{2}}

.

Evaluate the cube:

 \bigg( \dfrac{1 000 000}{64} \bigg)^{\frac{1}{2}}

.

Square root the fraction:

 = \bigg( \dfrac{\sqrt{1 000 000}}{\sqrt{64}} \bigg)

.

Evaluate the square root:

 = \dfrac{1 000}{8}

.

Simplify:

 = 125

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Answer: 125

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