Question

What is the answer of 0.04 rise to -1.5?

Answer 1

0.04^(-1.5)

= 0.04^(-3/2)

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

= 25^(3/2)

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

= (5)^3

= 125

Answer 2

$0.04^{-1.5}$

.

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