Grade 127 grade maths
Using laws of exponents, simplify and write the answer in exponential form: (2^20 ÷ 2^15) × 2^3
Using laws of exponents, simplify and write the answer in exponential form: (2^20 ÷ 2^15) × 2^3
1 Answer
Harshit Singh
Dear Student
By the rule of dividing the powers with same base = a^m÷ a^n= a^m - n
(2^20÷ 2^15) can be simplified as,= (2)^20 - 15 = 2^5
Then,
By the rule of multiplying the powers with same base = a^m× a^n= a^m + n
2^5× 2^3can be simplified as,
= (2)^5 + 3
= 2^8
Thanks
By the rule of dividing the powers with same base = a^m÷ a^n= a^m - n
(2^20÷ 2^15) can be simplified as,= (2)^20 - 15 = 2^5
Then,
By the rule of multiplying the powers with same base = a^m× a^n= a^m + n
2^5× 2^3can be simplified as,
= (2)^5 + 3
= 2^8
Thanks
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