Multiplying Exponents with Different Base but Same Exponent

Q. Which among the following would be positive after simplification?

1. $(-3{)}^{-7}$
2. $(-2{)}^{-5}\times (-9{)}^{-7}$
3. $(-4{)}^4\times (-6{)}^{-3}$
4. $(-8{)}^{-3}$

Q. Sarah wrote $(3^5{)}^7$= $3^{12}$. Is Sarah correct in this computation?

1. Yes
2. No

Q. Select the pairs that give equal values after computation.

1. $(3^5{)}^2$
2. $(4^4{)}^2$
3. $9^{10}$
4. $(5^3{)}^8$
5. $2^8\times 2^8$
6. ${625}^6$

Q. Find the value of $\left(7\right(1234.56789{)}^4{)}^0$.

1. 7
2. 1
3. \N
4. $(1234.56789{)}^4$

Q. Joe bought a rectangular-shaped farm. Length of his farm is $2^5\text{ft}$ and breadth is $3^5\text{ft}$. Area of the farm is ${\text{ft}}^2$

1. $6^5$
2. $6$
3. ${1.5}^5$

Q. Select the bubbles that would yield a positive value.

1. $(-6{)}^5$
2. $(-2{)}^6$
3. $(-8{)}^3$
4. $(-3{)}^4$
5. $(-3{)}^9$
6. $(-9{)}^8$
7. $(-6{)}^4$
8. $(-5{)}^{10}$

Q. Which of the following expression is equal to $5^2\times 3^2?$

1. ${15}^4$
2. ${15}^4$
3. $3^4$
4. ${15}^2$

Q. Joe bought a rectangular shaped farm. The length of his farm is $2^5\text{ft}$ and the breadth is $3^5\text{ft}$. What is the area of Joe's farm in ${\text{ft}}^2?$

1. $6^5$
2. $6$
3. ${1.5}^5$
4. None of the above

Q. Find the value of $T$ to make the following equation true.
$6^4{a}^4\times T^4{b}^4=(18ab{)}^4.$

1. $3$
2. $3^4$
3. $18$
4. None of the above

Q. Which of the following option is equal to $125x^3\times 6^3{y}^3?$

1. $(6xy{)}^3$
2. $(5xy{)}^3$
3. $(30xy{)}^3$
4. All of the above.

Q. The value of $(2^3{)}^4$ is same as that of $2^{12}$.

1. Yes
2. No