Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In Exercises 10 and 11, sim
10.
4(2x-4)-5(5x+3
In Exercises 12-14, simplif
12.
(x^(3))/(x^(-6))

In Exercises $10$ and $11$ , sim $\newline$ $10$ . $4(2 x-4)-5(5 x+3$ $\newline$ In Exercises $12$ $-14$ , simplif $\newline$ $12$ . $\frac{x^{3}}{x^{-6}}$

View step-by-step help

View step-by-step help

Estimate positive and negative square roots

Full solution

Q. In Exercises

10

and

11

, sim

\newline

10

.

4(2 x-4)-5(5 x+3

\newline

In Exercises

12

-14

, simplif

\newline

12

.

\frac{x^{3}}{x^{-6}}

Distribute terms: Distribute $4$ into $(2x-4)$ and $-5$ into $(5x+3)$ . $\newline$ $4 \times 2x = 8x$ , $4 \times -4 = -16$ , $-5 \times 5x = -25x$ , $-5 \times 3 = -15$ . $\newline$ So, $4(2x-4)-5(5x+3) = 8x - 16 - 25x - 15$ .
Combine like terms: Combine like terms in the expression $8x - 16 - 25x - 15$ . $\newline$ $8x - 25x = -17x$ , $-16 - 15 = -31$ . $\newline$ So, $8x - 16 - 25x - 15$ simplifies to $-17x - 31$ .
Simplify powers: Simplify the expression $(x^{3})/(x^{-6})$ . Add the exponents when dividing powers with the same base. $3 - (-6) = 3 + 6 = 9$ . So, $(x^{3})/(x^{-6})$ simplifies to $x^{9}$ .

More problems from Estimate positive and negative square roots

Question

\sqrt{49}

?

\newline

Posted 1 month ago

Question

Complete the following statement. Use the integers that are closest to the number in the middle.

\newline

<

\sqrt{40}

<

Posted 1 month ago

Question

-\sqrt{64}

\newline

Posted 2 months ago

Question

\sqrt[3]{27}

Posted 1 month ago

Question

Which two integers is

-\sqrt{48}

\newline

\newline

[A]-6 \text{ and } -5

\newline

[B]5 \text{ and } 6

\newline

[C]-7 \text{ and } -6

\newline

[D]6 \text{ and } 7

Posted 6 days ago

Question

What is the cube root of

-64

\newline

Posted 2 months ago

Question

Which two integers is

\sqrt[3]{22}

\newline

\newline

[1 \text{ and } 2]

\newline

[15 \text{ and } 16]

\newline

[16 \text{ and } 17]

\newline

[2 \text{ and } 3]

Posted 2 months ago

Question

\newline

(\sqrt{25})^2 = \_\_\_\_\_

Posted 1 month ago

Question

Look at this equation:

\newline

c^3 = 27

\newline

\newline

c

, the cube root of

27

\newline

c =

\newline

Posted 2 months ago

Question

Write the sentence as an equation.

\newline

172

is equal to the quotient of

x

4

\newline

/

) if you want to use a division sign.

\newline

Posted 1 month ago