The quotient of a number and 0.004 is 60. Find the number
1 answer:
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The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
; fractional exponent
The given expression is
Using calculator: = 0.0265
Applying the exponent rule for evaluating the given expression:
Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒
Applying fractional exponent rule;
I.e.,
⇒
⇒ 1/
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
Learn more about exponent rules here:
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The value of q(x) is
The value of r(x) is
Explanation:
The given expression is
We need to rewrite the expression in the form of
Simplifying the expression, we get,
Separating the fractions, we have,
-----------(1)
Now, we shall further simplify the term , we get,
Common out 5 from the numerator, we have,
Substituting the value in the equation(1), we get,
Thus, the expression is in the form of
Hence, we have,
and