All categories

3 years ago

How do I simplify this expression

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

3 0

You have to put 2 to the power of five. than multiply both exponents by 5 so 3x5 then 2x5. So your answer should be 32 exponent of 15 than x with an exponent of 10.

You might be interested in

What is 9a - 3 (2a - 4) = 15

faltersainse [42]

9a + -3(2a + -4) = 15 Reorder the terms: 9a + -3(-4 + 2a) = 15 9a + (-4 * -3 + 2a * -3) = 15 9a + (12 + -6a) = 15 Reorder the terms: 12 + 9a + -6a = 15 Combine like terms: 9a + -6a = 3a 12 + 3a = 15 Solving 12 + 3a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 15 + -12 3a = 15 + -12 Combine like terms: 15 + -12 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1

5 0

3 years ago

Read 2 more answers

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

Verify each statement

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

Read 2 more answers

Identify the angles relationship

anygoal [31]

Answer:

Adjacent

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap

5 0

3 years ago

JA manufacturer determines that the cost of making a computer component is $3.161616. Write the repeating decimal cost as a fra

Bad White [126]

Answer:

The repeating decimal cost

a) As a fraction = $ $\frac{3161616}{1000000}$

b) As a mixed number = $ $3\frac{161616}{1000000}$

Step-by-step explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making the computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number = $3\frac{161616}{1000000}$

8 0

3 years ago

Write (p^2)^3 without exponents

Rasek [7]

Answer:

$p*p*p*p*p*p*p*p*p$

Step-by-step explanation:

$(p^2)^3$

$2^3=8$

$=p^8$

$p^8$ = $p*p*p*p*p*p*p*p$

4 0

3 years ago