Question

evaluate (0.01024) raise to the power -2/5​

Answer 1

Step-by-step explanation:

here's the accurate solution

Answer 2

(0.01024) raise to the power $\frac{-2}{5} = 6.25$

• A number's exponent indicates how many times the number has been multiplied by itself. Exponents are necessary since, without them, it is highly challenging to express the product when a number is repeated several times by itself.
• Exponent-related problems are solved using the rules of exponents or the properties of exponents. These characteristics are regarded as major exponents rules that must be adhered to when solving exponents. How many times we must multiply the reciprocal of the base is indicated by a negative exponent.

Here, according to the given information, we are given that,

(0.01024) raise to the power $\frac{-2}{5} .$

Then, we get,

$\frac{1024}{100000} ^{\frac{-2}{5}} \\=(\frac{4}{10})^{5} ^{.\frac{-2}{5}} \\=\frac{4}{10} ^{-2} \\=\frac{10}{4} ^{2} \\\\=\frac{100}{16} \\=6.25$

Hence, (0.01024) raise to the power $\frac{-2}{5} = 6.25$

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