Simplify using the Laws of Exponents. (6a2b6)3

(6a²b⁶)(6a²b⁶)(6a²b⁶)
(6 · 6 · 6)(a² · a² · a²)(b⁶ · b⁶ · b⁶)
216a⁶b¹⁸

Related Questions

Help me with this plz I’m not understanding it

The scale means for 1 inch on the postcard the bridge is 19,600 inches long

Multiply the width of the postcard by the scale:

5.5 x 19,600 = 107,800 inches

1 foot = 12 inches.

Divide total inches by 12 to get feet:

107,800 / 12 = 8983

The closest answer is D. 8,980 feet.

The relationship between men's whole-number shoe sizes and foot lengths is an arithmetic sequence, where a, is the footlength in inches that corresponds to a shoe size of n. A men's size 9 fits a foot 10.31 inches long, and a men's size 13 fits a
foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.
0 6, 7,514 0 35(n-1)
O a. - 9-0 35(n-1)
O a-9-286(n-1)
O a, - 10 31-2 86(n-1)

Step-by-step explanation:

The arithmetic sequence has the form:

When a=10.31, n=9, we substitute to get:

Similarly, when n=13 and a=11.71, we get:

Subtract equation 1 from equation 2 to get:

This implies that

Substitute into the second equation to get:

Solve to get

Hence the explicit formula is:

A

Step-by-step explanation:

I got it right on edge

21/8 as a mixed number

You're answer is 2 5/8. To find a mixed number, you take an improper fraction, (such as 21/8), and you divide the numerator by the denominator. Now, you take the remainder and that will be your new numerator, and the divisor will be your denominator. Example:

8 I 21
-16
-------------
5

The conversion of this improper fraction 21/8 into a mixed number is 2 5/8.

What is a fraction?

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given improper fraction into a mixed fraction by dividing as follows;

21/8

Mixed fraction: 21/8 = 2 remainder 5

Mixed fraction: 2 5/8.

Read more on fraction here: brainly.com/question/29367657

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Mr Nersin likes to ride his bike. He rode for 1/2 hour. After a short rest, he rode 1/10 hour more. He traveled 4 miles in all. What is his average speed?

The distance traveled by Mr.Nersin = 4 miles
The time for which Mr.Nersin rode first = 1/2 hour
The time for which Mr.Nersin rode after a short rest = 1/10 hour
Then
The total time for which Mr.Nersin rode = (1/2) + (1/10) hour
= (5 + 1)/10 hour
= 6/10 hour
= 3/5 hour
So
Average speed of Mr. Nersin = Distance traveled / Time taken
= 4/(3/5) miles/hour
= (4 * 5)/3 miles/hour
= 20/3 miles/hour
= 6 2/3 miles/hour
= 6.67 miles per hour
So the average speed at which Mr.Nersin traveled is 6 2/3 or 6.67 miles per hour.
1/2+1/10
convert 1/2 with denomenator of 10
1/2 times 5/5=5/10
5/10+1/10=6/10=3/5
he traveled 3/5 hours
4 miles
4 miles per 3/5 hours
average speed is miles per 1 hour
4 miles =3/5 hours
multly both sides by 5/3 to meake 3/5 equal 1 (3/5 times 5/3=15/15=1)
20/3=1 hour
6 and 2/3=1 hour
6 and 2/3 miles per hour is speed

Here is the other part sorry

1) 32/5

2) 19/8

3) 34/7

4) 25/3

How to do this

You take the denominator (the number on the bottom), multiply it by the whole number (like in 1, 5*6=30) then add the numerator (the top number) (so 30+2) then add on top of the denominator before you changed anything (32/5)

Al runs 8 miles per hour. Bob runs 1 mile in 8 minutes. Carl runs 2 miles in 15 minutes. Dan runs 1/2 of a mile in 3.5 minutes. Who runs the fastest?