When you raise a power to a power, you really just multiply the exponents: $(x^m)^n=x^{m*n}$
When you multiply 2 exponents of the same base, you add the exponents together: $x^m*x^n=x^{m+n}$
When you divide 2 exponents of the same base, you subtract the exponents: $\frac{x^m}{x^n}=x^{m-n}$
To convert a negative exponent into a positive one, flip it to its reciprocal: $x^{-m}=\frac{1}{x^m}\\ \frac{1}{x^{-m}}=\frac{x^{m}}{1}=x^m$

Part A:

$\frac{2x^3y^3}{4y^2}=\frac{1}{2}x^{3-0}y^{3-2}=\frac{1}{2}x^3y$

Part B:

$(\frac{x^{-8}}{y^{11}})^{-2}=\frac{x^{-8*-2}}{y^{11*-2}}=\frac{x^{16}}{y^{-22}}=\frac{x^{16}y^{22}}{1}=x^{16}y^{22}$

Part C:

$\frac{(2x^3)(x^4)^2}{8x^{11}}=\frac{(2x^3)(x^{4*2})}{8x^{11}}=\frac{(2x^3)(x^8)}{8x^{11}}=\frac{2x^{3+8}}{8x^{11}}=\frac{2x^{11}}{8x^{11}}=\frac{1}{4}x^{11-11}=\frac{1}{4}x^0=\frac{1}{4}$

5 0

3 years ago

❗️5 points❗️ 5. state the slope of the line. A. -2 B. 0 C. 1 D. Undefined

Anna35 [415]

Hey there! :)

Answer:

B. 0

Step-by-step explanation:

On the graph, the line is a horizontal line. This means that there is no change in the y-value across the domain.

Thus, the graph has a slope of 0.

4 0

3 years ago

Read 2 more answers

CAN SOMEONE ANSWER ASAP PLEASE!!!!! WILL GIVE EXTRA POINTS

sdas [7]

I'm really sorry if I'm wrong but

14*26=364 so he can go 364 miles for every full tank so his first 364 are covered since he starts with a full tank.

Step 2:
838/26*14 = 451

step 3:

He'd only have to stop once

3 0

3 years ago

A bag contains purple and orange marbles.Sam randomly takes out one marble and then returns it to the bag.He does this 18 times,

Rudik [331]

I think 6 but how r u supposed to know how many marbles you started with

7 0

4 years ago