Question

Simplify 7^8 x 7^3 x 7^4 / 7^9 7^5

Answer 1

7.

Explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

Answer 2

7

Explanation:

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

`7^8 * 7^3 * 7^4 = 7^(15)`

Now, look at the rest of the simplified equation and do the same to the denominator:

`(7^(15))/(7^9*7^5)` ⇒
`(7^(15) )/(7^(14) )`

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer
`7^(15-14)` =
`7^1` =
`7`