simplify and express the result as a power of 10:[11⁸×11⁵]÷[11⁷×11⁶]
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Answer:
0.1 x 10¹
Step-by-step explanation:
[11⁸×11⁵]÷[11⁷×11⁶]
a^m x aⁿ = a^ m+n - Law of exponent.
= [11⁸⁺⁵] ÷ [11⁷⁺⁶]
= [11¹³] ÷ [11¹³]
a^m ÷ a^n = a^m-n - Law of exponent.
= 11¹³⁻¹³
= 11⁰
a⁰ = 1 - Law of exponent.
= 1
Expressing as power 10:
1
= 0.1 x 10¹
Hope it is helpful. Take care.
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