sd7317 sd7317
  • 24-05-2022
  • Mathematics
contestada

Write the expression using a single exponent.
7^5 x 7^6
A. 49^30
B. 7^30
C. 49^11
D. 7^11

Respuesta :

jimthompson5910 jimthompson5910
  • 24-05-2022

Answer:  D.  7^11

Reason:

The rule we use is [tex]a^b*a^c = a^{b+c}[/tex]

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

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

So,

[tex]7^5 \times 7^6 = 7^{5+6} = 7^{11}[/tex]

The base stays the same the entire time.

Answer Link
Emorix
Emorix Emorix
  • 24-05-2022
Answer:
D. 7^11
Explanation:
When simplifying exponents you keep the base the same, and add the exponents.
Answer Link

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