Simplify ((–3)^2)^3. A. (3)^6 B. (3)^5 C. (-3)^6 D. (-3)^5

Mathematics

2 answers:

yKpoI14uk [10]4 years ago

6 0

Answer:

(-3)⁶

Step-by-step explanation:

( (-3)² )³

= (-3)⁽²⁾⁽³⁾

= (-3)⁶

Whitepunk [10]4 years ago

4 0

Answer:

Step-by-step explanation:

So we have the expression:

$((-3)^2)^3$

Use the power of a power property, where:

$(a^b)^c=a^{b\cdot c}$

So:

$((-3)^2)^3=(-3)^{2\cdot 3}$

Simplify:

$=(-3)^6$

Our answer is C

You might be interested in

Lily has a bag of 30 marbles. 40% are red, 30% are green, and 30% are blue. How many marbles are green and red combined?

RoseWind [281]

30% of the 30 marbles is nine and 9-30 = 21 so your answer is 21

3 0

3 years ago

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours

uysha [10]

Answer:

$\$(990-t)$

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

$t+y=90$

$y=90-t$ -----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

$z=10t+11y$ ----> equation B