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IgorC [24]
3 years ago
14

List three ways to express 3^5 as a product of powers

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
1) 3^2 × 3^3 = (3×3)×(3×3×3) = 9×27 = 243

2) 3^1 × (3^4) = 3×(3×3×3×3) = 3×81 = 243

3) 3^0 × (3^5) = 1×(3×3×3×3×3) = 243
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3 0
1 year ago
(x-2)=-1/4(x-8) <br> please show steps
RSB [31]

Answer:

(

−

2

)

=

−

1

4

(

−

8

)

(x-2)=\frac{-1}{4}(x-8)

(x−2)=4−1​(x−8)

Solve

1

Eliminate redundant parentheses

(

−

2

)

=

−

1

4

(

−

8

)

−

2

=

−

1

4

(

−

8

)

2

Combine multiplied terms into a single fraction

−

2

=

−

1

4

(

−

8

)

−

2

=

−

1

(

−

8

)

4

3

Distribute

−

2

=

−

1

(

−

8

)

4

−

2

=

−

+

8

4

4

Add

2

2

2

to both sides of the equation

−

2

=

−

+

8

4

−

2

+

2

=

−

+

8

4

+

2

5

Simplify

Add the numbers

=

−

+

8

4

+

2

Solution

=

1

6

5

Step-by-step explanation:

4 0
3 years ago
A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.
kondor19780726 [428]
<h3>SOLUTION : </h3>

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is 2\pi r . Similarly when angle is theta ,

\implies Arc = radius \times \theta

Now substitute respective values , from the given data ,

\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}

This is our required answer!

4 0
3 years ago
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