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4 years ago

Which expression is equivalent to (a^6b^−3)1^/3 ?

Mathematics

2 answers:

Viefleur [7K]4 years ago

7 0

Answer:

a^2/b

Step-by-step explanation:

(a^6b^−3)1^/3

a^6 ^ 1/3 b ^ -3 ^ 1/3

using the power of power rule we can multiply the exponents

a ^ (6*1/3) b ^ (-3* 1/3)

a^ 2 b ^ -1

the negative exponent flips it from the numerator to the denominator

a^2* 1/ b^1

a^2/b

Misha Larkins [42]4 years ago

7 0

Answer:

Correct

Step-by-step explanation:

I just took the test

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(3x^2 - 2x)(2x^2 + 3x - 1) Polynomials

dedylja [7]

Answer:

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3 years ago

In the first two hockey games of the year, Rodayo played 1 1/2 periods and 1 3/4 periods. How many periods in all did he play? P

Talja [164]

Answer:

Rodayo played 3 1/4 periods in all

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the absolute value of the complex number -4-√2

Zepler [3.9K]

|a+bi| = √(a² + b²)

-4-√2 i -> take a = -4 and b = -√2

|-4-√2 i| = √[ (-4)² + (-√2)² ]
 = √[ 16 + 2 ]
 = √[ 18 ] = √[ 9 * 2 ]
 = 3√2
the absolute value is 3√2

6 0

3 years ago

Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

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3 years ago

Anthony, William, Christopher and Mathew are sharing 4 hats: red, green blue and gold. If Anthony doesn't wear red, william does

pogonyaev

3 ways
1st way: Anthony- Gold William-Red Christopher-Green Mathew-Blue

2nd way: Anthony- Blue William-Gold Christopher-Red Mathew-Green

3rd way: Anthony-Green William-Blue Christopher-Gold Mathew-Red

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3 years ago