what is the value of 4 to the power of 3 multiplied by 4 to the power of -1 multiplied by 5 to the power of -2 divided by 4 to the power of 4 multiplied by 5 to the power of -3 multiplied to the power of 0

Answers

Answer 1

Answer: remember
try and group like bases
and
(x^m)(x^n)=x^(m+n)
also
x^0=1
and
(ab)/(cd)=(a/c)(b/d)
and
(x^m)/(x^n)=x^(m-n)
and
x^-m=1/(x^m)

$((4^(3))(4^(-1))(5^(-2)))/((4^(4))(5^(-3))((-3)^(0)))$

simplify a few stuff

on top
(4^3)(4^-1)=4^(3-1)=4^2

on bottom
(-3)^0=1
which cancels out since 1 times x=x so disregard the (-3)^0

now we have
$((4^(2))(5^(-2)))/((4^(4))(5^(-3)))$
split into 2 fractions with 4's in one and 5's in other
( $(4^(2))/(4^(4))$ )( $(5^(-2))/(5^(-3))$ )
remember the exponential law

first fraction
$(4^(2))/(4^(4))$ =4^(2-4)=4^-2
second
( $(5^(-2))/(5^(-3))$ )=5^(-2-(-3))=5^(-2+3)=5^1=5

now we have
(4^-2)(5)=(1/(4^2))(5)=5/(4^2)=5/16

Answer 2

Answer:

Answer:

Step-by-step explanation:

the answer is 20

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Solve (x + 1 < 5) ∩ (x - 4 > -3).

350/100 as a decimal and a percentage

Answers

Decimal: 3.5 350 divided by 100 = 3.5 Percentage: 350% Move the decimal 2 times to the right 3.5 -> 350 Add a percent sign

Ari’s chickens eat their pellets at a constant rate throughout each day.What is the slope of the line that represents the ounces of pellets eaten?
Ari’s Chicken Pellets
Days 2 4 6 8
Ounces of Pellets remaining 39 33 27 21
________

Answers

the general equation for a linear graph is y = ax + b
a is the slope
a is just the difference between each number, which is -6 as the numbers are decreasing by 6 each time
so the slope is -6

What is the slope of the line that passes through the points (–2, 5) and (1, 11)? A.-6

B.2

C.1/2

D.-2

Answers

$Slope = (y_2-y_1)/(x_2-x_1) = (11-5)/(1-(-2)) = (6)/(1+2) = (6)/(3) = \boxed{\bf{2}}$

The answer is B) 2.

Hello!

Step-by-step explanation:

Slope: $(Y^2-Y^1)/(X^2-X^1)=(rise)/(run)$

$(11-5=6)/(1-(-2)=1+2=3)=(6)/(3)=2$

Slope is 2.

Answer is 2.

Hope this helps!

Thanks!

-Charlie

Have a great day!

Rueben sells electronics. He earns a 5% commission on each sale he makes. If Ruben wants to make $100 in commission, what is the dollar amount of electronics he must sell? A.$105
B.$200
C.$2,000
D.$2,105