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# Eleventh Grade (Grade 11) Exponents Questions

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Simplify: $(2x)^4/(2x^4)$
1. $8, \ x!=0$
2. $4$
3. $2, \ x!=0$
4. $1$
Grade 11 Exponents CCSS: HSN-RN.A.2
Evaluate the expression.

$(100)^(5/2)$
1. $(root5 32)^2$
2. $(root2 100)^5 = 100,000$
3. $(root5 100)^2$
4. $(10^2)^5 = 10^10 = 10,000,000,000$
Solve for x: $(4/5)^(x-3) = (25/16)$
1. $-2$
2. $1$
3. $1/2$
4. $0$
5. none of these are correct
Grade 11 Exponents CCSS: HSN-RN.A.1
Evaluate the expression $3^(x + 2)$ when $x = -2$.
1. $1/3$
2. $1$
3. $3$
4. $81$
Evaluate. $(1/27)^(-2/3)$
1. -3
2. 9
3. $1/3$
4. $-1/9$
Which function is an example of exponential growth?
1. $g(x)=0.4(1.3)^x$
2. $f(x)=1.6(0.85)^x$
3. $h(x)=0.5(0.95)^x$
4. $k(x)=1.2(1-.25)^x$
Grade 11 Exponents CCSS: HSF-LE.A.1c
Which function represents exponential decay?
1. $f(x) = 2^x$
2. $f(x) = 8(0.9)^x$
3. $f(x) = 6x^2$
4. $f(x) = 0.9 * x$
Solve for x: $(1/4)^x = 16^(1/2)$
1. -1
2. $1/2$
3. 4
4. 2
5. none of these are correct
Solve for x: $10^(x^2+1) = 100^x$
1. 4
2. 3
3. 2
4. 1
5. none of these are correct
Grade 11 Exponents CCSS: HSF-LE.A.3
The parents of Stephanie and Julia have told them that they will give them a monthly allowance based on a math equation. Stephanie chooses the one which says $f(x)= 3x+20$ while Julia chooses the one which says $g(x)= 1.75^x$. Which option below best describes what will happen?
1. Julia will always make more.
2. Julia will make more at first, but Stephanie will make more in the end.
3. Stephanie will always make more.
4. Stephanie will make more at first, but Julia will make more in the end.
Solve for x: $3^(x+2) = 27$
1. 3
2. 1
3. 2
4. 9
5. none of these are correct
Which function is an example of exponential decay?
1. $g(x)=0.4(1.3)^x$
2. $f(x)=1.6(0.85)^x$
3. $h(x)=2.5(1+.95)^x$
4. $k(x)=4(1.25)^x$
Write $root7 {: x^4$ as a rational exponent.
1. $x^(7/4)$
2. $x^4$
3. $x^(4/7)$
4. $x^7$
$(-3x^3)^3$
1. $-9x^6$
2. $-27x^9$
3. $27x^9$
4. $-27x^6$