Question

Please help! I have 5 more mins on my timed quiz. I WILL GIVE BRAINLIEST!

1. Multiply.

3√⋅22√⋅58√⋅18−−√

Enter your answer, in simplest radical form, in the box.

2. Use the properties of exponents to simplify the expression all the way.

(2x4y−3)−1

2x4y3

2y3x4

2x4y3

y32x4

3. Use properties of exponents to simplify the following expression.

2x4y−4z−33x2y−3z4

2x23yz7

2yz3x2

2x4y3z

3x2y3z42

Answer 1

only know number 1 sorryyyy

1 . 11^2⋅√58

Answer 2

Answer:

1. $18 \cdot \sqrt{638}$

2. $\frac{y^{3}}{2 x^4}$

3. $\frac{2 x^2}{3 y z^{−7}}$

Step-by-step explanation:

1. Assuming the expression is:

$3 \cdot \sqrt{22} \cdot \sqrt{58} \cdot \sqrt{18}$

Express the radicands as multiplication of prime numbers:

$3 \cdot \sqrt{11 \cdot 2} \cdot \sqrt{2 \cdot 29} \cdot \sqrt{3^2 \cdot 2}$

Distribute the radicals over the multiplication where a power is present:

$3 \cdot \sqrt{11 \cdot 2} \cdot \sqrt{2 \cdot 29} \cdot \sqrt{3^2} \cdot \sqrt{2}$

$3 \cdot \sqrt{11 \cdot 2} \cdot \sqrt{2 \cdot 29} \cdot 3 \cdot \sqrt{2}$

$9 \cdot \sqrt{11 \cdot 2} \cdot \sqrt{2 \cdot 29} \cdot \sqrt{2}$

Apply the inverse of distributive property of radicals over multiplication:

$9 \cdot \sqrt{11 \cdot 2 \cdot 2 \cdot 29\cdot 2}$

$9 \cdot \sqrt{11 \cdot 2^2 \cdot 29\cdot 2}$

$9 \cdot \sqrt{11 \cdot 29\cdot 2} \cdot \sqrt{2^2}$

$9 \cdot \sqrt{638} \cdot 2$

$18 \cdot \sqrt{638}$

2. Assuming the expression is:

$(2 x^4 y^{-3})^{-1}$

Distribute the exponent over the multiplication

$2^{-1} \cdot {(x^4)}^{-1} \cdot {(y^{-3})}^{-1}$

$\frac{1}{2} \cdot x^{-4} \cdot y^{3}$

$\frac{1}{2} \cdot \frac{1}{x^4} \cdot y^{3}$

$\frac{y^{3}}{2 x^4}$

3. Assuming the expression is:

$\frac{2 x^4y^{-4}z^{-3}}{3 x^2 y^{-3} z^4}$

Group by similar terms and simplify:

$\frac{2}{3} \cdot \frac{x^4}{x^2} \cdot \frac{y^{-4}}{y^{-3}} \cdot \frac{z^{-3}}{z^4}$

$\frac{2}{3} \cdot x^2 \cdot y^{-1} \cdot z^{-7}$

$\frac{2 x^2}{3 y z^{-7}}$