Terms with Negative Base

Q.

Express the following in positive exponents only :

$\frac{x^{-2}\times y^{-4}\times z^{-3}}{xyz}$

Q.

Fill in the blanks with $<,>$ or $=$ sign: $10,000$ ______ ${10}^5$

Q. $(-2{)}^4>(-3{)}^4$

1. True
2. False

Q.

Fill in the blank to make the statement true .

${\text{a}}^3{\text{×a}}^{-10}\text{=\_\_.}$

Q.

$x^m\times y^m={\left(xy\right)}^{\_\_\_}$

Q. If 'm' is an even number, then $(-a{)}^m$ is equal to

1. $a^m$
2. $a^{-m}$
3. a
4. $-a^m$

Q.

In the previous question, if b is nonzero, what can be said about $(4–3^b)$?

1. It is always odd

2. It is always even

3. It can be either odd or even

4. It is equal to 0

Q. Evaluate $(-1{)}^4$

1. -1
2. 1
3. 0
4. 2

Q. -1 raised to power 5 is equal to ___.

1. 1
2. 0
3. -1
4. 5

Q. 2⁵ × 3⁵ = _______.

1. 5⁵
2. 6⁵
3. 6¹⁰
4. 6²⁵

Q. What is (-31)⁰ ?

1. -31
2. 1
3. -1
4. 31

Q. Express each of the following numbers using the exponential notation:

(i) 512
(ii) 343
(iii) 729

Q. If $5^{m+2}$ $\times$ $5^4$ = $5^3$ , then $m$ = .

1. \N
2. -1
3. -4
4. -3

Q. What is -9 raised to the power of 2?

1. -1331
2. 81
3. -729
4. -81