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3 years ago

Describe the rule for multiplying powers with the same base and give an example please

1 answer:

6 0

When multiplying powers with the same base you write the result as a base raised to the power that is the sum of previous two powers:

$a^m\cdot a^n=a^{m+n}.$

For example,

$2^5\cdot 2^7=2^{5+7}=2^{12};$

$3^5\cdot 3^4=3^{5+4}=3^9.$

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Simora [160]

Answer:

reduce the expression and if possible do that by cancelling the common factors :)

4 0

2 years ago

1. Carter will install fencing all around the flat area of his

MariettaO [177]

Answer:

Amount of fencing required = 75 yards

Step-by-step explanation:

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A(3, 6) and B(3, -2) = $\sqrt{(3-3)^2+(6+2)^2}$

= 8 yards

Distance between B(3, -2) and C(-7, 4) = $\sqrt{(3+7)^2+(-2-4)^2}$

= $\sqrt{136}$

= 11.66 ≈ 12 yards

Distance between C(-7, 4) and D(-7, -2) = $\sqrt{(-7+7)^2+(4+2)^2}$

= 6 yards

Distance between D(-7, -2) and E(-3, -2) = $\sqrt{(-7+3)^2+(-2+2)^2}$

= 4 yards

Distance between E(-3, -2) and F(-3, -8) = $\sqrt{(-3+3)^2+(-2+8)^2}$

= 6 yards

Distance between F(-3, -8) and G(3, -8) = $\sqrt{(-3-3)^2+(-8+8)^2}$

= 6 yards

Distance between G(3, -8) and H(10, -12) = $\sqrt{(3-10)^2+(-8+12)^2}$

= $\sqrt{49+16}$

= $\sqrt{65}$

= 8.06 ≈ 8 yards

Distance between H(10, -12) and J(10, 6) = $\sqrt{(10-10)^2+(-12-6)^2}$

= 18 yards

Distance between A(3, 6) and J(10, 6) = $\sqrt{(10-3)^2+(6-6)^2}$

= 7 yards

Since length of fence required = perimeter of the flat area

Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7

= 75 yards

Therefore, amount of fencing required = 75 yards

8 0

3 years ago

There are 3 times as many novels as comic books in a bookstore.If there are 2480 books altogether, how many comic books are ther

Allushta [10]

Answer:

620 comic books

2480 / 4 is 620.

620 x 3 is 1860.

1860 + 620 is 2480.

Done!

5 0

3 years ago

Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is sh

Viefleur [7K]

Answer:

113 feet

Step-by-step explanation:

Use the ratio 1:50 to calculate the height of the tower.

The scale model height is 2.25 feet, so multiply that by 50

2.25 x 50 = 112.5

Round to 113 feet

7 0

3 years ago

Read 2 more answers

Place each of the digits 1, 3, 5, and 6 in the blanks provided to create an expression whose value is 1/10

kompoz [17]

Answer:

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

Step-by-step explanation:

From the picture attached,

Multiplication of two fractions gives the result as $\frac{1}{10}$ .

This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.

Therefore, from the given numbers,

5 × 6 = 30

Rest two numbers be placed as the numerator of the fractions.

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

$=\frac{1}{10}$

Therefore, $\frac{1}{5}\times \frac{3}{6}=\frac{1}{10}$ will be the answer.

3 0

3 years ago