Question

What is the value of 5 power minus 2 into 10 power of -4?

Answer 1

5-² × 10-⁴
=) 1/5² ×1/10⁴
=) 1 / 25 × 1 / 10000
=) 1 / 250000

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Answer 2

Given:

The exponent form: $5^{-2} X 10^{-4}$

To Find:

The standard form of the given value.

Solution:

The numerical can be solved by the following method.

The given exponential form is: $5^{-2} X 10^{-4}$

On taking reciprocal of both terms,

  $\frac{1}{5^{2} } X \frac{1}{10^{4} }$

= $\frac{1}{25} X \frac{1}{10000}$

= $\frac{1}{25000}$

Converting to decimal form,

0.00004

Hence, the required standard form of the value is 0.00004.