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Identify the base and the exponent of each expression. Also evaluate.$$2^{7}$$...

Question

Identify the base and the exponent of each expression. Also evaluate.$$2^{7}$$

Identify the base and the exponent of each expression. Also evaluate. $$ 2^{7} $$



Answers

Rewrite each expression using a single base and a single exponent.
$$2^{7} \cdot 2^{-4} \cdot 2^{x}$$

Seven to the fourth power squared. So when you're raising a power to another power, the rule is that you multiply those exponents. So four times two is eight and we just keep the same base of seven. So a simpler way too right that it's 78 on and we'll just leave our intro like that for now. We could simplify it more, though, if asked to.

Okay, it's over. This probably won't identify the base and exponents in the expression five X to the seventh power. So you remember we had a to the end power. The A is the base because it's what's being raised to the power in the end, is the exponents. So whatever is being raised to the power is the base. And whatever the power is, is the exponents or whatever is in the superscript. So for this problem and have five X since its imprint disease, it's all being raised to the seventh power five X is the base and the seven, the power is the exponents.

Okay, So for this problem, we want to identify the base in the exponents. And four, Why cubed over seven. So, for sake of solving for the base and exponents, this could be rewritten, like four over seven times. Why Cute. So, adding the parentheses helps you identify the base, since the original problem wasn't written like this, including the four and seven or 4/7. But the exponents, you know that it's just attached to the why. So this problem the base is why in the exponents, the power, which is three

In this problem. The base is the to, and the exponents is seven. When you go to find the value of to the seventh, Power is two times two attempts to toast two times two attempts to temps to seven times. This is 128.


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