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3 years ago

Simplify 6s⁵t × s⁴t²

Mathematics

2 answers:

Eva8 [605]3 years ago

6 0

Answer:

6 s^9 t^3

Step-by-step explanation:

When you multiply same variables with exponents, you want to add the expoenents.

6s^5t * s^4t^2

s^5 * s^4 = s^9

t * t^2 = t^3

6 * 1 = 6

6 s^9 t^3

Anna35 [415]3 years ago

4 0

Answer:

$6s^{9}t^{3}$

Step-by-step explanation:

$6s^{5}t\times^{4}t^{2}$

<u>To multiply power of the same base, we add their exponent, add 5 and 4 to get 9:</u>

<u /> $6s^{9}tt^{2}$

<u>Add exponents, 1 and 2 = 3</u>

<u /> $6s^{9}t^{3}$

<u>OAmalOHopeO</u>

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3 years ago

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. A triangular prism is s

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The height of the base is 12cm.

The approximate amount of cardboard used to make the candy box is 720 cm².

Given

A candy bar box is in the shape of a triangular prism.

The volume of the box is 1,200 cubic centimeters.

A triangular prism is shown with a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.

<h3>The volume of the prism;</h3>

The volume of a triangular prism is given by the formula;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height$

Part A: What is the height of the base?

The height of the base is given by;

$\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm$

The height of the base is 12cm.

Part B: What is the approximate amount of cardboard used to make the candy box?

The approximate amount of cardboard used to make the candy box is given by;

$\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720$

The approximate amount of cardboard used to make the candy box is 720 cm².

To know more about triangular prism click the link given below.

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7 0

3 years ago

Simplify 6s⁵t × s⁴t²​

Simplify 6s⁵t × s⁴t²