2 years ago

How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal

Mathematics

1 answer:

Kay [80]2 years ago

8 0

Answer:Thus, (-3)-4 = 1/(-3)4.

Step-by-step explanation:

Negative exponents have the following property: n-m = 1/nm OR 1/n-m = nm

So for (-3)-4 , n= -3 and -m= -4 (or m= 4).

Thus, (-3)-4 = 1/(-3)4.

You might be interested in

3. If x = 12 which equation is true? 7.11B

galina1969 [7]

Answer:

Step-by-step explanation:

evaluate each

3(20-12)=48

3(8)=48

24=48 FALSE

3(12-12)=3

3(0)=3

0=3 FALSE

2(12-3)=18

2(9)=18

18=18 TRUE

5(12)-3=58

60-3=58

57=58 FALSE

5 0

3 years ago

Read 2 more answers

Identify the variables, the constant, the coefficients, and the exponents in the algebraic

Naya [18.7K]

Variables: x and y
Coefficients: 5 and 2
Constants: 4
Exponents: 2 (if 3y is being squared)

4 0

3 years ago

Which is the slope for the equation that is perpendicular to y=-4x+3

zzz [600]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

The equation for a line is y=mx + b where m represents the slope

If a line is perpendicular to another line, it's slope is the negative reciprocal of the other line's slope.

The reciprocal of -4 is $-\frac{1}{4}$

And the negative of that would be $\frac{1}{4}$

4 0

2 years ago

HELP

kati45 [8]

Slope: 1/5

Y-intercept: 0

Equation: Y= 5x

5 0

3 years ago

What is the surface area of the right prism below? A 432 sq units B. 448 sq units C. 480 sq units D. 400 sq units

AVprozaik [17]

Answer:

400 sq units.................

4 0

3 years ago

Read 2 more answers