All categories

2 years ago

Simplify the expression below.

Mathematics

2 answers:

Mashutka [201]2 years ago

7 0

Answer:

D. 10^10

Step-by-step explanation:

Multiplying numbers with exponents rule : $a^b*a^c=a^b^+^c$

explanation of rule : we simply keep the bases the same and add the exponents.

10^3 • 10^7

keep the base as 10 and add the exponents

$10^3 * 10^7 =10^3^+^7=10^1^0$

Keep in mind that this only works when the bases are the same.

djverab [1.8K]2 years ago

4 0

Answer:

$\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: ANSWER : \: \: \: \: 10^{10} }}}}}}}}$

Step-by-step explanation:

The given expression, 10³ • 10⁷ has the same base but different exponential values. We know that,

$\large\sf \: a^{x} * a^{y} = a^{x + y}$

So,

$\large{\mathfrak{10^{3} * 10^{7} }}$

= $\large{\mathfrak{10^{3 + 7} }}$

= $\huge{\boxed{\mathfrak{10^{10} }}}$ (3rd option)

_____

Hope it helps!

$\mathfrak{Lucazz}$

You might be interested in

Emma needs 2 pounds of ground meat to make a meatloaf.she has one package with 2.09 pounds of ground meat and another with 2.09

vladimir2022 [97]

Mma can see that 2.09 is closer to 2 than 2.36.

4 0

3 years ago

A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is t

larisa86 [58]

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

6 0

3 years ago

Which equation represents a proportional relationship?

asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., $y=\dfrac{1}{4}x$ , is of the $y=kx$ , where, $k=\dfrac{1}{4}$ .

So, the equation $y=\dfrac{1}{4}x$ represents a proportional relationship.

Therefore, the correct option is B.

6 0

2 years ago

What are all the primes of 52

AleksandrR [38]

<span>52 can be broken down to the following
2*26 =52
2*(2*13) <---13 x 2=26 x 2=52
2*2*13 or 2^2*13 <--BOTH mean the same thing :) </span><span>
</span>

6 0

3 years ago

Найдите высоту стола.

crimeas [40]

I'm not sure but I'm gonna guess that the answer is 50?

4 0

3 years ago