Question

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

Answer 1

Answer:

7.

Step-by-step 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

Answer:

7

Step-by-step 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:

$\frac{7^{15}}{7^9*7^5}$ ⇒ $\frac{7^{15} }{7^{14} }$

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