Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: ((1)/(9x))/((9)/(8x^(3)))

Simplify:19x98x3\frac{\frac{1}{9x}}{\frac{9}{8x^{3}}}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiplication with rational exponentsright chevron icon

Full solution

Q. Simplify:19x98x3\frac{\frac{1}{9x}}{\frac{9}{8x^{3}}}
  1. Simplify Division of Fractions: Simplify the division of fractions by multiplying by the reciprocal of the divisor.\newlineCalculation: (19x)×(8x39)\left(\frac{1}{9x}\right) \times \left(\frac{8x^3}{9}\right)
  2. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newlineCalculation: (1×8x3)/(9x×9)(1 \times 8x^3) / (9x \times 9)
  3. Simplify Expression: Simplify the expression by cancelling and reducing terms.\newlineCalculation: (8x3)/(81x)(8x^3) / (81x)
  4. Cancel xx in Numerator and Denominator: Cancel xx in the numerator and denominator.\newlineCalculation: (8x2)/81(8x^2) / 81

More problems from Multiplication with rational exponents

Question
Let h(x)=log⁡2(x) h(x)=\log _{2}(x) .\newlineCan we use the mean value theorem to say the equation h′(x)=1 h^{\prime}(x)=1 has a solution where 1<x<2 1<x<2 ?\newlineChoose 11 answer:\newline(A) No, since the function is not differentiable on that interval.\newline(B) No, since the average rate of change of h h over the interval 1≤x≤2 1 \leq x \leq 2 isn't equal to 11 .\newline(C) Yes, both conditions for using the mean value theorem have been met.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of 391113+(−41113) ?  39 \frac{11}{13}+\left(-41 \frac{1}{13}\right) \text { ? } \newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of −1042+1042? -1042+1042 ? \newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of −18917+(−18917) -18 \frac{9}{17}+\left(-18 \frac{9}{17}\right) ?\newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of 2345+(−2345)? \frac{23}{45}+\left(-\frac{23}{45}\right) ? \newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of 45+(−38) 45+(-38) ?\newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of −49.8+61.2 -49.8+61.2 ?\newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of −1.69+(−1.69)? -1.69+(-1.69) ? \newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the sign of 37+(−37) 37+(-37) ?\newlineChoose 11 answer:\newline(A) Positive\newline(B) Negative\newline(C) Neither positive nor negative-the sum is zero.
Get tutor helpright-arrow

Posted 3 months ago

Question
g(x)=2x−9g′(x)=? \begin{array}{l} g(x)=\sqrt{2 x-9} \\ g^{\prime}(x)=? \end{array} \newlineChoose 11 answer:\newline(A) 2x−92 \frac{\sqrt{2 x-9}}{2} \newline(B) 12x−9 \frac{1}{\sqrt{2 x-9}} \newline(C) 122x−9 \frac{1}{2 \sqrt{2 x-9}} \newline(D) 1x \frac{1}{\sqrt{x}}
Get tutor helpright-arrow

Posted 3 months ago

View all (82)