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3 years ago

Simplify xz^3 x 4x^4z^5

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Answer:

4x⁵z⁸

Step-by-step explanation:

xz³ₓ4x⁴z⁵ =

= 4x¹⁺⁴z³⁺⁵

= 4x⁵z⁸

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The two triangles are similar. What is the value of x? Enter your answer in the box.

alukav5142 [94]

Answer:

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Step-by-step explanation:

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2 years ago

A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters what is the width of the rectangle

notsponge [240]

Answer:

The width of the rectangle=32 cm

Step-by-step explanation:

We are given that

Perimeter of rectangle, P=116 cm

Length of rectangle, l=26 cm

We have to find the width of the rectangle.

We know that

Perimeter of rectangle, P= $2(l+b)$

Where l=Length of rectangle

b=Width of rectangle

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3 years ago

Read 2 more answers

Please help! Rewrite the rational exponent as a radical. (2 points)

vladimir2022 [97]

Answer:

Answer: 3) $\sqrt{5}$

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

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

We should also recall that:

$(x^n)^m=x^{nm}$

We are given the expression:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}$

Applying the power of power:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)$

Simplifying:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}$

Converting to radical form:

$\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}$

Answer: 3) $\sqrt{5}$

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3 years ago