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$Learn with an example ^(vv) or Watch a video (D) Evaluate. Write your answer as a whole number or as a simplified fraction. 2^(2)*2^(2)= Submit$

Learn with an example ${ }^{\vee}$ or Watch a video (D) $\newline$ Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $2^{2} \cdot 2^{2}=$ $\newline$ Submit

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Solve exponential equations by rewriting the base

Full solution

Q. Learn with an example

{ }^{\vee}

or Watch a video (D)

\newline

Evaluate. Write your answer as a whole number or as a simplified fraction.

\newline

2^{2} \cdot 2^{2}=

\newline

Submit

Apply exponent rule: Apply the exponent rule for multiplying powers with the same base. $\newline$ When multiplying powers with the same base, you add the exponents. $\newline$ So, $2^{2} \cdot 2^{2} = 2^{2+2}$ .
Add exponents: Perform the addition of the exponents. $\newline$ Add the exponents $2 + 2$ to get $4$ . $\newline$ So, $2^{2} \cdot 2^{2} = 2^{4}$ .
Calculate value: Calculate the value of $2^{4}$ . $\newline$ $2^{4}$ means $2 \cdot 2 \cdot 2 \cdot 2$ . $\newline$ So, $2^{4} = 16$ .

More problems from Solve exponential equations by rewriting the base

Question

Solve. Write your answer as an integer or a fraction in simplest form.

\newline

5^x=1

\newline

x=

Posted 3 months ago

Question

Steven opened a savings account and deposited

\$100.00

as principal. The account earns

9\%

interest, compounded annually. What is the balance after

5

\newline

Use the formula

A = P(1 + \frac{r}{n})^{nt}

A

is the balance (final amount),

P

is the principal (starting amount),

r

is the interest rate expressed as a decimal,

n

is the number of times per year that the interest is compounded, and

t

is the time in years.

\newline

Round your answer to the nearest cent.

\newline

\$

Posted 3 months ago

Question

Use the following function rule to find

f(1)

\newline

f(x) = 12(7)^x + 8

\newline

f(1) =

Posted 2 months ago

Question

The town of Valley View conducted a census this year, which showed that it has a population of

1,800

people. Based on the census data, it is estimated that the population of Valley View will grow by

12\%

\newline

Write an exponential equation in the form

y = a(b)^x

that can model the town population,

y

x

decades after this census was taken.

\newline

Use whole numbers, decimals, or simplified fractions for the values of

a

b

\newline

y =

Posted 2 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = 9^x

\newline

x =

Posted 3 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = e^x

\newline

x =

Posted 2 months ago

Question

Solve. Simplify your answer.

\newline

\log u = 1

\newline

u =

Posted 3 months ago

Question

Solve. Simplify your answer.

\newline

7\log x = 7

\newline

x =

Posted 2 months ago

Question

g(t) = 3^t

change over the interval from

t = 3

t = 4

\newline

\newline

g(t)

3

\newline

g(t)

3

\newline

g(t)

3\%

\newline

g(t)

200\%

Posted 3 months ago

Question

f(x)

6

over every unit interval in

x

f(0) = 0

\newline

Which could be a function rule for

f(x)

\newline

\newline

f(x) = 6^x

\newline

f(x) = 6x

\newline

f(x) = \frac{1}{6^x}

\newline

f(x) = \frac{x}{6}

Posted 3 months ago