Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

likh kr khud aata h

View step-by-step help

View step-by-step help

Evaluate rational exponents

Full solution

Q. likh kr khud aata h

Recognize and Apply Distributive Property: Step $1$ : Recognize the expression and apply the distributive property. $\newline$ Since the exponents are the same, we can combine the bases: $\newline$ $27^{\frac{3}{4}} \times 3^{\frac{3}{4}} = (27 \times 3)^{\frac{3}{4}}$
Calculate Product of Bases: Step $2$ : Calculate the product of $27$ and $3$ . $\newline$ $27 \times 3 = 81$
Express $81$ as Power of $3$ : Step $3$ : Express $81$ as a power of $3$ . $\newline$ $81 = 3^4$
Simplify Using Power of a Power Rule: Step $4$ : Simplify the expression using the power of a power rule. $\newline$ $(3^4)^{\frac{3}{4}} = 3^{4 \times \frac{3}{4}}$ $\newline$ $3^{4 \times \frac{3}{4}} = 3^3$
Calculate Value of $3^3$ : Step $5$ : Calculate the value of $3^3$ . $\newline$ $3^3 = 3 \times 3 \times 3$ $\newline$ $3^3 = 27$

More problems from Evaluate rational exponents

Question

f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}}

\newline

We want to find

\lim _{x \rightarrow-2} f(x)

\newline

What happens when we use direct substitution?

\newline

1

\newline

(A) The limit exists, and we found it!

\newline

(B) The limit doesn't exist (probably an asymptote).

\newline

(C) The result is indeterminate.

Posted 3 months ago

Question

x^{4}+y^{2}=17

\newline

What is the value of

\frac{d^{2} y}{d x^{2}}

(-2,1)

\newline

Give an exact number.

Posted 2 months ago

Question

What is the area of the region bound by the graphs of

f(x)=\sqrt{x-2}, g(x)=14-x

x=2

\newline

1

\newline

\frac{19}{6}

\newline

\frac{99}{2}

\newline

\frac{151}{2}

\newline

\frac{45}{2}

Posted 1 month ago

Question

g(x)=x^{\frac{4}{3}}

\newline

g^{\prime}(27)=

Posted 2 months ago

Question

\ln \left(\frac{1}{\sqrt{e}}\right)

\newline

Posted 2 months ago

Question

\ln \left(\frac{1}{e}\right)

\newline

Posted 2 months ago

Question

y=(\sin^{-1}(5x^{2}))^{3}

Posted 2 months ago

Question

\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)

Posted 2 months ago

Question

y=\cos^{4}x\sin^{4}x

Posted 2 months ago

Question

\frac{3}{5}-\frac{3}{10}

Posted 2 months ago