Answer in scientific notation?

Mathematics

1 answer:

love history [14]3 years ago

7 0

The answer is: 45 * 10 ⁻¹¹ .
___________________________________________

Explanation:
____________________________________________
Given: (9 * 10⁻⁵) * (5 *10 ⁻⁶) ; Simplify.
____________________________________________
(9 * 10⁻⁵) * (5 *10⁻⁶) =

9 * 5 * 10⁻⁵ * 10⁻⁶ =

(9 * 5) * 10⁻⁵ * 10⁻⁶

45 * 10⁻⁵ * 10⁻⁶ ;
______________________________________
Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
______________________________________
So; 45 * 10⁻⁵ * 10⁻⁶

= 45 * 10⁻¹¹ .
______________________________________

You might be interested in

Fourth Quarter

Nina [5.8K]

Answer:

Step-by-step explanation:

playing in the garden

7 0

3 years ago

A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each se

oee [108]

First you need to find the area of the whole circle. $\pi r^{2}$
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation.
$Area = \pi 10^{2} Area = 100 \pi$
Putting $\pi$ after the 100 because that is what is commonly done.

Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections.

Since the area of the whole circle is $100 \pi$ then we just divide that by 4,
leaving us with 25 $\pi$ and that is our final answer

3 0

2 years ago

Which equation represents the relationship 3 less than a number is -6

Phantasy [73]

X-3=-6
if you take away 3 from a number, you will get -6
x=-3

5 0

3 years ago

Write 7/50 as a decimal

Sophie [7]

0.14

You divide 7 by 50.

5 0

3 years ago

Read 2 more answers

Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ

Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

3 0

3 years ago