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Sonja [21]
3 years ago
12

Question 1) When multiplying powers with the same base, keep the base and _______________ the exponents.

Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

The rules are

x^a\cdot x^b = x^{a+b}

\dfrac{x^a}{x^b} = x^{a-b}

Let me show you why with a couple of examples: suppose we want to multiply

4^3\cdot 4^2

Since powers are just repeated multiplications, we have

4^3\cdot 4^2 = \underbrace{4\cdot 4\cdot 4}_{4^3}\cdot\underbrace{4\cdot 4}_{4^2}=4^5 = 4^{3+2}

Similarly, we have

\dfrac{4^3}{4^2} = \dfrac{4\cdot 4 \cdot 4}{4\cdot 4} = 4 = 4^1 = 4^{3-2}

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3 years ago
Solve the equation 0.25 (8z - 4) = z + 8 - 2z
Andrew [12]
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4 0
3 years ago
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Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
lutik1710 [3]

The line of best-fit that represents the relationship between velocity and time is:

v = 2.19t + 6.7.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (t,v) are given as follows:

(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).

Hence, inserting these points into a calculator, the equation is given by:

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More can be learned about a line of best-fit at brainly.com/question/22992800

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3 0
1 year ago
A box has length 4 feet, width 8 feet, and height 7 inches. Find the volume of the box in cubic feet and in
Lubov Fominskaja [6]

Answer:

32 256 cubic inches

18.7 cubic feet

Step-by-step explanation:

4 feet = 4 × 12 = 48 inches

8 feet = 8 × 12 = 96 inches

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Volume = length × width × height

V = 48 × 96 × 7 = 32 256 cubic inches

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8 0
3 years ago
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