randomiguess
randomiguess randomiguess
  • 20-02-2022
  • Mathematics
contestada

Which expression is equivalent to 8^-3 times 8^-9?
a. 1/8^27
b. 8^-12
c. 8^27
d. 1/8^-12

Respuesta :

SenorMathWiz
SenorMathWiz SenorMathWiz
  • 20-02-2022

Answer:

B

Step-by-step explanation:

Multiplying numbers with exponents rule:

[tex] {a}^{b} \times {a}^{c} = {a}^{b + c} [/tex]

Explanation of rule: keep the base the same and add the exponents. Keep in mind this rule only works when the base of both numbers are the same.

Applying rule: 8^-3 x 8^-9

keep base as 8 and add the exponents

[tex] {8}^{ - 3} \times {8}^{ - 9} = {8}^{( - 3) + ( - 9)} = {8}^{ - 12} [/tex]

b is the answer

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