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Identify the base and the exponent of each expression. Also evaluate.$$-6^{2}$$...

Question

Identify the base and the exponent of each expression. Also evaluate.$$-6^{2}$$

Identify the base and the exponent of each expression. Also evaluate. $$ -6^{2} $$



Answers

Evaluate each expression. Write all answers without exponents.
$$\left(\frac{1}{6}\right)^{-2}$$

Okay, so we have one or six, so we can rewrite that as negative. Exponent. That 60 A negative one. That is six to the negative one. To the power of negative to using our power role, we get six to the power of negative one times negative too, which is equal to six to the power of to which is equal to 36.

We're being asked to write this expression using our base on Lee once. Well, the rule tells us that when we multiply like bases, we simply need to add their exponents. So our bases negative six. And we're going to add the exponents. So we're gonna add 12 plus five plus two. Well, 12 plus five is equal to 17. Plus two is equal to 19. So our final answer will be negative six being raised to the 19th power.

So, firstly, we know that this is the equivalent of multiply in minus two together six times, so I'll just write out to show you. Now if we multiply two together six times, we get 64. Andi, as we have an even power, there is no possible where that next could be a negative number. So 64 is the final answer to the question.

This time is there are no brackets. Question is actually asking us to give the negative off to multiply together six times, like so. So we have the negative off 64 because we know that's what we get when we multiply two together six times, so the final answer is minus 64.


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