3 years ago

What is the simplified form of the expression? 9. (m^7)^2 a) 2m^14 b) m^49 c) m^9 d) m^14

Mathematics

1 answer:

kupik [55]3 years ago

3 0

(m^7)^2 = m^(7 x 2) = m^14

You might be interested in

Write the prime factorization of 675 using exponent

matrenka [14]

675 : 5 = 135

135 : 5 = 27

27 : 3 = 9

9 : 3 = 3

3 : 3 = 1

675 = 5 · 5 · 3 · 3 · 3 = 5² · 3³

4 0

2 years ago

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

UNO [17]

Answer:

$\frac{225}{16} cm/s$

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=25cm^3/s$

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid= $\frac{1}{3}lwh=\frac{1}{3}l^2h$

$\frac{l}{h}=\frac{4}{12}=\frac{1}{3}$

$l=\frac{1}{3}h$

Substitute the value

$V=\frac{1}{27}h^3$

Differentiate w.r.t t

$\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}$

Substitute the values

$25=\frac{1}{9}(4^2)\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s$

5 0

3 years ago

Which of the following equations represents a parabola that reaches its minimum value at (- 2, - 3)?

nlexa [21]

Yay me following equations

7 0

2 years ago

The one mile race is equal to how many feet

julsineya [31]

Your answer to this question

✿ 1 Mile = 5280 feet ✿

4 0

3 years ago

The midpoint of gh is m(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H

Mars2501 [29]

Answer:

Step-by-step explanation:

(-2 + x)/2= 4

-2 + x = 8

x = 10

(2 + y)/2 = -3

2 + y = -6

y = -8

(10, -8) for endpoint H

4 0

2 years ago