Select all radical expressions that are equivalent to 41 3/5

x^ \frac{m}{n} = \sqrt[n]{x^m}x

n

m

=

n

x

m

and

(x^m)^n=x^{mn}(x

m

)

n

=x

mn

so

x^ \frac{3}{5} = \sqrt[5]{4^3}x

5

3

=

5

4

3

but wait, there's more

4=2², so

x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x

5

3

=

5

4

3

=

5

(2

2

)

3

=

5

2

6

=

2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2

5

6

=(2

5

5

)(2

5

1

)=2

5

2

also, 4^3=64

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: