Why does a number with an exponent of zero equal one?

1 answer:

5 0

When we multiply or divide the same base with exponents we add or subtract, so for that to work the 0th power has to equal 1

You might be interested in

What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2

Oliga [24]

Given:

$\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}$

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

$\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}$

$\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}$

Subtract $\dfrac{9}{10}$ from both sides.

$\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}$

$\dfrac{x}{5}=\dfrac{15-9}{10}$

$\dfrac{x}{5}=\dfrac{6}{10}$

$\dfrac{x}{5}=\dfrac{3}{5}$

Multiplying both sides by 5, we get

$x=3$

So, the missing value is 3.

Therefore, the correct option is C.

8 0

3 years ago

Given circle P, which of the following options are major arcs?

MakcuM [25]

If your asking to select all that apply,

The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.

ABC,BAD,DCB

3 0

3 years ago

HELP!!! First gets Top Answer!!!

Marta_Voda [28]

It is approximately -.4048

H=10^(-pH)

log H = -pH

pH=-logH => so it is affirmed that it is -.40