solve for x : x^5÷1/x^-3 = 49
Answers
Answered by
9
Answer:
7
Step-by-step explanation:
Answered by
0
Concept
The power of any two quantities which have the same base gets added when they are multiplied and similarly the power get subtracted when the two quantities with the same base are divided.
Given
The given expression which is in term of x is
x^5÷1/x^-3 = 49
Find
We have to calculate the value of x.
Solution
Since, x^5÷1/x^-3 = 49
Therefore, x^5*x^-3 = 49, since the reciprocal of a reciprocal is itself the quantity.
Hence, x^(5-3) = 49
x^2 = 49
x^2 = 7^2
Taking the square root on both side we have
x = 7
Hence the value of x is 7.
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