Can you please help me in this quick question? I'm so mad at it no matter what I do it's wrong :( Write the expression as a monomial in its standard form.
(–0.2b^6)^3*5b

It's kind of confusing when I write it like that without the exponents and stuff but yeah please help thanks

Step-by-step explanation:

We have the expression and we want to rewrite/simplify this to a monomial (only one term).

First, let's expand. We can use the power of a product exponent property, where

We have:

Using the above property, this will be:

(-0.2) cubed is -0.008. So, this becomes:

We can now use the power of a power property, where .

Therefore, this will give us:

Evaluate:

Notice that 5b is the same as 5 times b to the first power. So:

We can rearrange this to get:

When we multiply exponents with the same base, we will simply add the exponents. -0.008 times 5 is -0.04. Therefore, this yields:

Therefore, our final answer is .

And this is indeed a monomial since this only has one term.

step-by-step explanation:

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