Mathematics, 09.11.2019 22:31 battlemarshmell

Describe how to simplify the expression 3^-6/3^-4

a. divide the bases and then add the exponents.
b. keep the base the same and then add the exponents.
c. multiply the bases and then subtract the exponents.
d. keep the base the same and then subtract the exponents.

Answers: 1

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Answer from: live4dramaoy0yf9

(D) $3^{-2}$

Step-by-step explanation:

We have to simplify the given expression that is :

$\frac{3^{-6} }{3^{-4} }$

Now, keeping the base same and then subtracting the components, we have

first keep the base same,

$3^{-6}{\times}3^{-4}$

Now, subtract the exponents,

⇒ $3^{-6+4}$

⇒ $3^{-2}$

Which is the required simplified expression.

Therefore, Option D is correct.

Answer from: meowmeowcow

d. Keep the base the same and then subtract the exponents.

Step-by-step explanation:

The given expression: $\frac{3^{-6}}{3^{-4}}$

According to the law of exponents in division with same base:-

$\frac{a^m}{a^n}=a^{m-n}$

In the given expression, both numerator and denominator has exponents wth the same base, hence to solve the expression we need to use law of exponents of division.

Hence, to simplify the $\frac{3^{-6}}{3^{-4}}$ , we need to keep the base the same and then subtract the exponents.

i.e $\frac{3^{-6}}{3^{-4}}=(3)^{-6-(-4)}=3^{-6+4}=3^{-2}$

Answer from: Quest

step-by-step explanation:

so first find out how much each is worth.

quarter= 25 cents

dime= 10 cents

pennies= 1 cent

then multiply each by how much each is worth.

200 150 300

x x x 1

25 10

300

1000 1500

4000

5000

then count 2 from the back and add a period.

$50.00

$15.00

$3.00

and then add them

$50.00

$15.00

$3.00

$68.00

so sunghee has $68.00

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Describe how to simplify the expression 3^-6/3^-4

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