If ????/????¹·⁵= 8x⁻¹ and x > 0, then x =
A.
B. 2
C. 4
D. 64
Answers
Answered by
1
Given : x/x¹·⁵ = 8x⁻¹ and x > 0
= x/x¹·⁵ = 8/x
= x × x /x¹·⁵ = 8
= x¹ ⁺ ¹ ⁻ ¹·⁵ = 8
= x² ⁻ ¹·⁵ = 8
= x·⁵ = 8
= x⁵/¹⁰ = 8
= x½ = 8
= x = 8²
x = 64
Hence, x = 64
Option (D) 64 is correct..
Extra information :
The product law of exponents :
When we multiply the two numbers with the same base we add the exponents of these rational numbers.
Let a (> 0) be a real number and p, q be rational numbers.
a^p × a^q = a^p+q
HOPE THIS ANSWER WILL HELP YOU…..
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Answer:
Step-by-step explanation:
= x/x¹·⁵ = 8/x
= x × x /x¹·⁵ = 8
= x¹ ⁺ ¹ ⁻ ¹·⁵ = 8
= x² ⁻ ¹·⁵ = 8
= x·⁵ = 8
= x⁵/¹⁰ = 8
= x½ = 8
= x = 8²
x = 64
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