Question

what is 25 to the -1/2 power

Answer 1

Answer:

1/5

Step-by-step explanation:

1/(25)^1/2=1/5

${25}^{ - 1 \div 2}$

=

${25}^{ - 1 \div 2} = 1 \div {25}^{1 \div 2} = 1 \div \sqrt{25} = 1 \div 5$

Answer 2

Answer:

$\large\boxed{{\frac{1}{5}=0.2 }}$

Step-by-step explanation:

To solve this problem, first you have to use the power of exponent. Or you can also used the answer should be decimal.

Given:

First, used exponent rule.

$\large\boxed{\textnormal{Exponent Rule}}$

$\displaystyle d^-^e=\frac{1}{d^e}$

Solution:

$\displaystyle =\frac{1}{25^\frac{1}{2} }$

Factor the number from left to right.

$\displaystyle 5^2=5*5=25$

$\displaystyle (5^2)^\frac{1}{2}$

$\large\boxed{\textnormal{Exponent Rule}}$

$\displaystyle (d^e)^f=d^e^f$

Solve.

$\displaystyle (5^2)^\frac{1}{2}=5^2^*^\frac{1}{2}=\boxed{5}$

$\large\boxed{\frac{1}{5}=0.2 }$

As a result, the solution is 1/5=0.2, which is our answer.