How can you write (10²)⁴ as a single power of 10? Show your work.

Answer: 10^8

Step-by-step explanation:

Use the law of exponents

10^2X4

10^8

The expression of a function is such that it involves the input to be present as an exponent of some constant, then such function is called an exponential function. You can write (10²)⁴ as a single power of 10 as  10⁸.

When the expression of a function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called an exponential function. Their usual form is specified below. They are written in several such equivalent forms.

Given an exponential expression (10²)⁴, which can be written as a power of 10 using the law of exponents. Therefore, the expression can be written as,

(10²)⁴

Using the exponential property, [tex](10^a)^b = 10^{(a \times b)}[/tex]

= 10⁽²ˣ⁴⁾

= 10⁸

Hence, you can write (10²)⁴ as a single power of 10 as  10⁸.

Learn more about Exponential Functions here:

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