(256)⁰·¹⁶ × (256)⁰·⁰⁹
A. 4
B. 16
C. 64
D. 256.25
Answers
Answered by
16
By using these law of exponents : x^m x x^n = x^m +n and (a^m)ⁿ = a^mⁿ
Given : (256)⁰·¹⁶ × (256)⁰·⁰⁹
= (256) ⁰·¹⁶ ⁺ ⁰·⁰⁹
= (256) ⁰·²⁵
= (4⁴)²⁵/¹⁰⁰
= (4⁴)¹/⁴
= 4⁴ ×¹/⁴
(256)⁰·¹⁶ × (256)⁰·⁰⁹ = 4
Hence the value of (256)⁰·¹⁶ × (256)⁰·⁰⁹ is 4.
Among the given options option (A) 4 is correct.
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Answered by
6
Step-by-step explanation:
(256)⁰·¹⁶ × (256)⁰·⁰⁹
A. 4✅✅
B. 16
C. 64
D. 256.25
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