All categories

2 years ago

Write the expression using a single exponent.

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

6 0

Answer: D. 7^11

Reason:

The rule we use is $a^b*a^c = a^{b+c}$

When multiplying exponentials of the same base, we add the exponents.

The exponents 5 and 6 add to 5+6 = 11

So,

$7^5 \times 7^6 = 7^{5+6} = 7^{11}$

The base stays the same the entire time.

mina [271]2 years ago

5 0

Answer:
D. 7^11
Explanation:
When simplifying exponents you keep the base the same, and add the exponents.

You might be interested in

Please check 1 and 2 and help with 3 and 4

Sindrei [870]

I don't know the anwser sorry and what grade are u in

5 0

3 years ago

ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diamete

Hoochie [10]

Answer:

Step-by-step explanation:

$A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi$

use a calculator fo find the value

5 0

3 years ago

Read 2 more answers

Azul has 4 green picks and no orange picks. You add orange picks so that there are 2 orange picks for every 1 green pick. How ma

Troyanec [42]

Answer:

12 picks total

Step-by-step explanation:

1. multiply 2 (orange picks) by 4 (green picks)

2*4=8 total orange picks

2. add green picks (4) + orange picks (8)

4+8=12

6 0

3 years ago

(-12,14) and (6,-1)<br> write a linear equation

jarptica [38.1K]

Answer:

Step-by-step explanation:

this is were they should go

8 0

2 years ago

A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours

bekas [8.4K]

Answer: 1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}$

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}$

To find the scale factor,

Take the denominator from the fraction with a variable: $1\ hr$
Take the denominator from the fraction that has no variable: $\frac{1}{3}\ hr$
Divide step 1 by step 2 and solve: $1\ hr\ \div\ \frac{1}{3}\ hr = 3$

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}$

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}$

Simplify 3/30 by dividing the fraction by 3.

$\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}$

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0

1 year ago