All categories

3 years ago

Rewrite the expression (9^2)^5 in the form 9^n.

Mathematics

1 answer:

Setler79 [48]3 years ago

3 0

Answer: 9^10

In other words, n = 10

=====================================

You use the rule (a^b)^c = a^(b*c) which says to multiply the exponents whenever we raise some exponential to some other exponent.

In this case, a = 9, b = 2, c = 5

(a^b)^c = a^(b*c)

(9^2)^5 = 9^(2*5)

(9^2)^5 = 9^10

You might be interested in

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Oliga [24]

Answer:

no of sample within two percentage points is 5409

no of sample not use prior estimates is 8321

Step-by-step explanation:

Given data

E = 2% = 0.02

male m = 21.2 % = 0.212

female f = 19.7 % = 0.197

to find out

no of sample within two percentage points and if does not use any prior estimates

solution

first we calculate no of sample within two percentage points

we know Z critical value for 99% is 2.58

so no of sample will be

n = (Z / E )² × m(1-m) + f ( 1-f )

put all the value we get no of sample

n = (2.58 / 0.02 )² × 0.212 ( 1 - 0.212 ) + 0.197 ( 1 - 0.197 )

n = 16641 ×0.3250

no of sample within two percentage points is 5409

in 2nd part no of sample not use prior estimates

here than f and m will be 0.5

than

n = (Z / E )² × m(1-m) + f ( 1-f )

put all value

n = (2.58 / 0.02 )² × 0.5 ( 1 - 0.5 ) + 0.5 ( 1 - 0.5 )

n = 16641 × 0.5

no of sample not use prior estimates is 8321

7 0

3 years ago

student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x − 2 13 ) −6(4x) + 6 ( −

sleet_krkn [62]

Answer:

No, the student's work is not correct.

Step-by-step explanation:

Given : Student expanded an expression, as shown.

$-6(4x-\frac{2}{13} )$

$-6(4x)+6(-\frac{2}{13} )$

$-24x-\frac{12}{13}$

To find : Is the student's work correct?

Solution :

The expansion of student is not correct.

Follow the below steps to get correct solution and student mistake,

Step 1 - Write the expression,

$-6(4x-\frac{2}{13} )$

Step 2 - Apply distributive property, $a(b+c)=ab+ac$

$=(-6)(4x)+(-6)(-\frac{2}{13})$

Step 3 - Solve,

$=-24x+\frac{12}{13}$

The student was mistaken in step 2 in solving the sign.

4 0

3 years ago

Read 2 more answers

Keenan is buying tires. Keenan has to spend 2 dollars for each tire purchased <br>

shepuryov [24]

Answer:

what's the question? I don't know

8 0

3 years ago

Read 2 more answers

2(4x – 3) ≥ –3(3x) + 5x?

tatyana61 [14]

Treat the 'more than or equal to' sign as a '=' then work it out like an ordinary algebraic equation.
2(4x-3) = -3(3x)+5x
8x-6 = -9x+5x
-6 = -9x+5x-8x
-6 = -12x
-6/-12 = x
1/2 = x
Then swap the '=' back for the other sign. This works for all of the '<' type signs

8 0

3 years ago

Write an equivalent expression by distributing the

melamori03 [73]

Answer:

-8m + (-7.7n - 6)

Step-by-step explanation:

You distribute the negative in front of the parentheses, to everything inside of the parentheses, and change the sign to addition.

7 0

3 years ago