All categories

3 years ago

Write each power as a product of factors 2^4 4^2 9^2 8^5 5^3 7^3

1 answer:

5 0

 $2^{4}$ ⇒2×2×2×2⇒16
 $4^{2}$ ⇒4×4⇒16
 $9^{2}$ ⇒9×9⇒81
 $8^{5}$ ⇒8×8×8×8×8⇒32.768
 $5^{3}$ ⇒5×5×5⇒125
 $7^{3}$ ⇒7×7×7⇒343

You might be interested in

Please someone help me

irina1246 [14]

The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.

Add this to the area of the rectangle, 9x18=162, and 162+12=174.

The area is 174.

7 0

3 years ago

Read 2 more answers

Ethan spends 4 dimes on a plastic crab and then Sophia buys a pink flamingo pen for 1 quarter how much money do they spend in al

slega [8]

Answer:

10+10+10+10+25= 65 cents

5 0

2 years ago

Can anyone help me?

frozen [14]

2x + x - 1 x
= ------------------ * ---------
x(x - 1) 8

3x - 1
= --------------
8x - 8

6 0

2 years ago

A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother's

svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be $x+5$ .

The sum of the squares of their ages is 97. We can represent this information in an equation as:

$x^2+(x+5)^2=97$

Let us solve for x.

$x^2+x^2+10x+25=97$

$2x^2+10x+25-97=0$

$2x^2+10x-72=0$

Divide both sides by 2:

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x+9)(x-4)=0$

$(x+9)=0 ; (x-4)=0$

$x=-9 ; x=4$

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be $x+5\Rightarrow4+5=9$

Therefore, the age of older child would be 9 years.

We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.

Square of 4: $4^2=16$