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3 years ago

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Describe how to simplify the expression (3^-6)/(3^-4). Answers: Divide the bases and then add the exponents. Keep the base the s

ame and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.

2 answers:

Viktor [21]3 years ago

8 0

Answer:

Last option: Keep the base the same and then subtract the exponents.

Step-by-step explanation:

There is a property called "Quotient of power property".

This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:

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

Then, you need to apply this property to the expression $\frac{(3^{-6})}{(3^{-4})}$ to simplify it.

Therefore, you get that the expression simplified is:

$3^{(-6-(-4))}=3^{(-6+4)}=3^{-2}$

ASHA 777 [7]3 years ago

5 0

Answer:b

Step-by-step explanation:

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Hat is the value of the expression –5x4 when x = –2?

sleet_krkn [62]

$\bold{Hey\ there!}$

$\bold{Assuming,\ you\ meant: -5(-2)^4}$

$\bold{If\ so\ follow\ these\ steps\downarrow}$
$\bold{(-2)^4=16}$
$\bold{(-5)\times 16=-80}$
$\boxed{\boxed{\bold {Thus,\ your\ answer\ is: -80}}}\checkmark$

$\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}$

~ $\frak{LoveYourselfFirst:)}$

7 0

3 years ago

Sam saved $40 each month for 3 years. Then, he spent 65% of his savings on a cruise. How much of his savings was left? A. $420 B

VLD [36.1K]

Answer:

$588 was left

Step-by-step explanation:

Since it was $40 for 3.5 years, and there are 12 months in a year, we do: (3*12+6)*40=1680
65%= 13/20
13/20 * 1680
Sam paid $1092
1680 - 1092 = 588

6 0

3 years ago

Vector z = <5, -3> is subtracted from vector w = <-6, -5>. The magnitude of the resulting vector is approximately __

Digiron [165]

Answer:

$11.18\ \text{units}$

$10.3^{\circ}$

Step-by-step explanation:

$w=$

$z=$

z is subtracted from w so

$w-z=\\\Rightarrow w-z=$

Magnitude is given by

$\sqrt{(-11)^2+(-2)^2}=5\sqrt{5}=11.18$

The magnitude of the resulting vector is approximately $11.18\ \text{units}$ .

The angle is

$\theta=\tan^{-1}\dfrac{-2}{-11}\\\Rightarrow \theta=10.3^{\circ}$

The direction is approximately $10.3^{\circ}$

8 0

3 years ago

Helena is baking a cake that requires three and one-half cups of flour. Helena accidentally poured five and one-sixth cups of fl

RUDIKE [14]

Amount of flour Helena accidentally poured $=5\frac{1}{6} =\frac{31}{6}$ cups of flour.

Amount of flour the cake requires $=3\frac{1}{2} =\frac{7}{2}$ cups of flour.

Amount of flour that Helena should take out $=\frac{31}{6} - \frac{7}{2}$

$=\frac{31}{6} - \frac{7 \times 3}{2\times 3}$

$=\frac{31}{6} - \frac{21}{6}$

$=\frac{31-21}{6}$

$=\frac{10}{6}$

$=\frac{5}{3}$

$=1\frac{2}{3}$ cups of flour.

3 0

4 years ago

Which graph represents the solution to the compound inequality?

zmey [24]

The graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

<h3>Which graph represents the solution to the compound inequality?</h3>

The inequalities given in the task content can be solved as follows;

For –2x + 4 ≤ 8

-2x ≤ 8 -4

x >= -2

For –2x + 4 > –6

–2x > –6 -4

x < 5

Hence, the graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

Read more on compound inequality;

brainly.com/question/7070563

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3 0

2 years ago