All categories

1 year ago

Can someone help me this is Algebra 2 thank you

Mathematics

1 answer:

ratelena [41]1 year ago

5 0

Answer:

Order of exponentiation can be swapped here, and the fractional power written as a root.

Step-by-step explanation:

The commutative property of multiplication and the rules of exponents apply.

<h3>Product of exponents</h3>

The rule is ...

(a^b)^c = a^(bc)

<h3>Application</h3>

The given expression can be rearranged to ...

$\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}$

You might be interested in

Given X(4, -7). What are the coordinates of X" if

Vika [28.1K]

<h3>Answer:</h3>

B. (0, 9)

<h3>Step-by-step explanation:</h3>

Reflection across x=a is represented by the transformation ...

... (x, y) ⇒(2a-x, y)

Reflection across y=b is represented by the transformation ...

... (x, y) ⇒ (x, 2b-y)

The double reflection, across x=2, y=1 will result in the transformation ...

... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)

For (x, y) = X(4, -7), the transformed point is ...

... X''(4-4, 2-(-7)) = X''(0, 9)

6 0

2 years ago

1 point An old Honda Civic can go 351 miles on average before it runs out of gas. Its tank holds 11 gallons of gas. What is the

ad-work [718]

Answer:

32 miles per gallon

Step-by-step explanation:

351 divided by 11 = 31.90909090909090909090909090 e.t.c

8 0

2 years ago

Which of the following could be the lengths of the sides of a 45°-45°-90° triangle?

Sunny_sXe [5.5K]

Answer would be 6.
i've done this one before.

7 0

2 years ago

(10x - 4)=20 Question: What value of x makes the equation true

liraira [26]

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

4 0

2 years ago

Work out the size of one of the exterior angles

hodyreva [135]

Given Information :-

⠀

A polygon with 10 sides ( Decagon )

⠀

To Find :-

⠀

The value of one of the exterior angles

⠀

Formula Used :-

⠀

$\qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star$

⠀

Solution :-

⠀

Putting the given values, we get,

⠀

$\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\$

Thus, the value of the exterior angles of a Decagon is 36°.

⠀

$\underline{ \rule{227pt}{2pt}} \\ \\$

8 0

2 years ago

Read 2 more answers