Question

Simplify (5 (to the power of 3) x 5(power of 5) )another power of 5
pls help

simplify (53x55)5
options
5 to the 40th power
5 to the 20th
5 to the 75th power
5 to the 13th power

Answer 1

Answer:

$(5^3 \times 5^5)^5 = 5^{40}$

Step-by-step explanation:

$(5^3 \times 5^5)^5\\\\5^a \times 5^b = 5^{a+b}\\\\5^3 \times 5^5 = 5^ {3 + 5} = 5^8\\\\(5^8)^5\\\\(5^a)^b = 5^{ab}\\\\(5^8)^5 = 5^{8(5)} = 5^{40}\\\\\therefore (5^3 \times 5^5)^5 = 5^{40}$

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