x⁸ ÷ x⁷ X x² : If x = 2, then find the value.
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2^8÷2^7×2^2
256 ÷128 × 4
2×4
8
256 ÷128 × 4
2×4
8
Answered by
2
Solution :
Given x^8 ÷ x^7 × x²
= ( x^8 / x^7 ) × x²
= ( x^8-7 ) × x²
[ Since , a^m/a^n = a^m-n ]
= x¹ × x²
= x^1+2
[ Since , a^m × a^n = a^m+n ]
= x³
= 2³ [ Given x = 2 ]
= 8
••••
Given x^8 ÷ x^7 × x²
= ( x^8 / x^7 ) × x²
= ( x^8-7 ) × x²
[ Since , a^m/a^n = a^m-n ]
= x¹ × x²
= x^1+2
[ Since , a^m × a^n = a^m+n ]
= x³
= 2³ [ Given x = 2 ]
= 8
••••
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