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3 years ago

Pls help me answered this paper. I already answered A but I'm to lazy to answers the rest. SORRY ;-; lol

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

When looking for volume always multiply the sides to find the answer

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Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

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

Adding the powers, we get,

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

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

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

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

The volume of a cube-shaped box with edges 6 centimeters in length?

Marizza181 [45]

Since the length of each side of cube is s.

Volume of a cube = s³ = s*s*s

Since length of side = 6cm

Volume = 6³ = 6*6*6 = 216

Volume = 216 cm³

Option A.

6 0

3 years ago

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Tristan wants to buy 12 cupcakes. Each cupcake costs $2.40. What is the best estimate for how much money Tristan should bring wi

Alenkasestr [34]

Answer: $28.80

Step-by-step explanation:

4 0

2 years ago

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Based on the graph, what is the solution set to 4x – 4 ≤ 4? (–∞, 5] (–∞, 4] (0, 4] [5, ∞)

Tomtit [17]

Answer:

It's A

Step-by-step explanation:

got it right on Edge2020

3 0

2 years ago

Andrea needs a box that has a volume of 90 cubic inches what might the measures of her box be

Eduardwww [97]

Volume is Length x width x height. So what are three numbers that multiply to 90?
30x30x30=90

8 0

2 years ago

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