Question

Which expression is equivalent to 73 ⋅ 7−5?

72
77
1 over 7 to the 2nd power
1 over 7 to the 7th power

Answer 1

@Michele_Laino

Answer 2

Show your work. Don't forget your Order of Operations.

Answer 3

So
\[\large7^3*\large7^{-5}\]?

Answer 4

Hello? @nuccioreggie

Answer 5

Ok 1sec

Answer 6

Yea thats the question

Answer 7

\[\Large7^3*\Large7^{-5}=\Large7^{3-5}\]

Answer 8

I think the answer is B

Answer 9

And why do you think that?

Answer 10

Idk

Answer 11

To multiply powers with the same base, give the same base and add the exponents.

Examples:

\(\large 5^8 \cdot 5^7 = 5^{8 + 7} = 5^{15} \)

\(\large 3^{-5} \cdot 3^4 = 3^{-5 + 4} = 3^{-1} \)

Answer 12

Also, after you multiply the powers together using the rule above, you need to know what to do with a negative exponent.
For that use this rule:

\(\large a^{-n} = \dfrac{1}{a^n} \)

Example:

\(\large 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{125} \)

Answer 13

Ok i just did that and i got the answer choice

Answer 14

A

Answer 15

First, multiply the powers together.
The base is 7.
What do you get for the exponent?

Answer 16

What is 3 + (-5) = ?

Answer 17

-2

Answer 18

Sorry if i typee the same thing twice its not moe its my computer

Answer 19

Good. So far you are correct.