All categories

2 years ago

Simplify the expression below. 4^5 x 4^3

Mathematics

2 answers:

BartSMP [9]2 years ago

4 0

Answer:

4^8

Step-by-step explanation:

Because both expressions have the same base, we can add the exponents to simplify the expression:

$4^5*4^3 = 4^{5+3} = 4^8$

elena-s [515]2 years ago

3 0

Answer: 4^8 or 65,536

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents.

You might be interested in

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

2 years ago

Eric jogged 31/4 miles on monday 5 5/8 miles on tuesday and 8 miles on wensday .suppose he continues the pattern for the remaind

Troyanec [42]

The is increasing by 2 3/8
So the answer is 12 3/4 miles on Friday

Hope this helps :)

3 0

3 years ago

4/7, solve for q, explain too please

Ivahew [28]

Answer:

q = 6

Step-by-step explanation:

3/5 = q/10

10 ÷ 5 = 2

3 × 2 = 6

3/5 = 6/10

6 0

2 years ago

(6x2 + 3x) and (2x2 + 6x)<br> Use horizontal format

balu736 [363]

(12 + 3x) and (4 + 6x)

5 0

2 years ago

To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she

dybincka [34]

Check the picture below.

let's recall that a square has all equal sides, so the perimeter of the square is about 31, and Alicia has 32 inches of trim, so she's golden.

3 0

2 years ago

Read 2 more answers