Answer:
D
Step-by-step explanation:
This questions asks use to find what f(x) or y is, when x is equal to -2.
So, substitute -2 in for x in the equation.
f(x)=2(4)^x
f(-2)=2(4)^-2
Evaluate the exponent. Negative exponents follow this rule:
b^-x= 1/b^x
We have 4^-2. This will become 1/4^2 or 1/16
f(-2)=2(1/16)
Multiply
f(-2)=2/16
This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.
f(-2)=2/2 / 16/2
f(-2)= 1/8
The correct choice is D. 1/8
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
<h3>What is the simplified form of the expression?</h3>
Given the expression;
( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²
First, we use the properties of exponents.
( 2⁻²ˣ⁻³ × 3⁴ˣ⁻³ ) × ( 2⁻³ˣ² × 3²ˣ² )
( 2⁶ × 3⁻¹² ) × ( 2⁻⁶ × 3⁴ )
We take out the parentheses, such that;
2⁶ × 2⁻⁶ × 3⁻¹² × 3⁴
<em>Note that: </em>2⁶ × 2⁻⁶ = 1, as
Hence, we have
1 × 3⁻¹² × 3⁴
3⁻¹²⁺4
3⁻⁸
Next, we express with positive exponent
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is .
Hence, option B is the correct answer.
Learn more on how to simplify expressions here: brainly.com/question/403991
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Answer: -138
Step-by-step explanation:
pls help me with this on my account
gaston is making a tent for boy scout camp. he has been instructed to use canvas on all of the sides except the bottom, which will be made out of a different material. how much canvas will gaston need?
Answer: 36.45 Percent i think
Step-by-step explanation: