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# Exponents Questions - All Grades

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Look at the pattern below:

$4 xx 10^1 = 40$
$4 xx 10^2 = 400$
$4 xx 10^3 = 4000$

Which statement best summarizes this pattern?
1. the exponent shows the number of places the decimal moves to the left
2. the exponent shows the number of places the decimal moves to the right
3. there is no relationship between the exponent that the ten is raised to and decimal placement
Which expression simplifies to 10,000?
1. $10^2$
2. $10^3$
3. $10^4$
4. $10^5$
Evaluate: $x^{0}$
1. $0$
2. $1$
3. $x$
4. $x^2$
5. None of the above.
Look at the number below:

0.05

Which of the following best explains what happens when the decimal above is multiplied by $10^2$?
1. the decimal shifts 2 places to the left
2. the decimal shifts 2 places to the right
3. the decimal does not shift, but 0.05 is divided by 2
4. the decimal does not shift, but 0.05 is multiplied by 2
Simplify.
$(9 x^4 y ^5)/(6 x^2y^10)$
1. $(9 x^2 y^5)/(6)$
2. $(3x^2y^5)/(2)$
3. $(3 x^2)/(2y^5)$
4. $(3x^2 )/(2y^-5)$
Simplify.
$x^30/x^-10$
1. $x^20$
2. $x^10$
3. $1/x^10$
4. $x^40$
Simplify. $( 5x^3 y ^2) ^0$
1. $5x^3y^2$
2. 1
3. 0
4. 5
Simplify.
$(3m n^4)^3$
1. $9m^3 n^7$
2. $9m^4n^7$
3. $27m^4n^7$
4. $27m^3 n^12$
Simplify.
$(-3x^4y^2)^3$
1. $-27x^12y^6$
2. $-27xy$
3. $-27x^7y^$
4. $-27x^7y^6$
Simplify $b^5 * b^2$.
1. $b^25$
2. $b^7$
3. $b^3$
4. $b^10$
Simplify the expression $b^4 * b^2$.
1. $b^16$
2. $b^6$
3. $b^2$
4. $b^8$
To simplify the following expression correctly, what must be done with the exponents?

$(25^a)^b$
2. subtract the exponents
3. multiply the exponents
4. divide the exponents
Which of the following shows the number 10,000 written as a power of 10?
1. $10^3$
2. $10^4$
3. $10^5$
4. $10^6$
Simplify.
$4^16$ multiplied by $4^20$
1. $4^36$
2. $4^16$
3. $4^320$
$t^0 xx t^2 xx t^1xx t^-7$
1. $t^0$
2. $t^-7$
3. $1/t^4$
4. -4
Simplify: $(x^10)/(8x^5).$
1. $(x^5)/8$
2. $(1)/(8x^5)$
3. $8x^5$
4. $(8)/(x^5)$
Simplify $x^2 * x^4$.
1. $x^8$
2. $x^6$
3. $8x^2$
4. 6x
5. $x^2$
Simplify $(2r)^2$.
1. $2^2 + r^2$
2. $4r$
3. $4r^2$
4. $16$