Question

Write the expression using a single exponent.

7^5 x 7^6
A. 49^30
B. 7^30
C. 49^11
D. 7^11

Answer 1

Answer: D. 7^11

Reason:

The rule we use is
`a^b*a^c = a^(b+c)`

When multiplying exponentials of the same base, we add the exponents.

The exponents 5 and 6 add to 5+6 = 11

So,

`7^5 * 7^6 = 7^(5+6) = 7^(11)`

The base stays the same the entire time.

Answer 2

Answer:
D. 7^11
Step-by-step explanation:
When simplifying exponents you keep the base the same, and add the exponents.