Exponents And P...

3³ + 3³ + 3³ + 3³ + 3³ is equal to

The value of is

What will come in place of question mark (?) in the following expression?

What is the value of (3° + 5° + 4° × 3°) × 2²?

If , then x is equal to

The value of is

What will come in place of question mark (?) in the following expression?

= ?

What is the value of 'x' if 10⁵ × 10^-3 = 10^x?

If , then the value of x is

Which of the following is equivalent to 8.9 × 10^-7?

If , then n is equal to

The number which is multiplied by (-7)² to obtain a product equal to 35 is

The value of is

The value of x⁴ + y⁶, if x = 7 and y = 3 is

The value of is

A square shaped park has an area of 4¹⁹ sq.m. A gardener wants to make square flower beds of 16⁵ sq.m. How many flower beds can be made?

A jeweller spends Rs. 90,000 on buying a gold block from a miner. If the jeweller has 2 x 10⁴ blocks of gold, then find out the total money spent on gold by the jeweller.

Two galaxies, Andromeda and Milky Way, revolve around each other. The longest distance from Andromeda to Milky Way is 5.236 x 10¹⁶ light years and the shortest distance from Milky Way to Andromeda is 2.541 x 10¹⁶ light years. Find the average distance between the two galaxies.

Distance from Paris to Canada is 3.7 x 10⁸ km and distance from Canada to England is 4.3 x 10⁷ km. The distance from Paris to England in standard form is

A teacher asked two of his students to solve the expression and write the answers on the board. Rajeev wrote and Sanjeev wrote . Who wrote the correct answer?

Directions: Match the following.

Column - 1	Column - 2
a)	i) -44
b)	ii) 1
c)	iii) 79
d)	iv) 2

Which of the following options is correct with respect to the two statements given below?

(i) 9⁰ = (10000)⁰
(ii) 100 × 100¹¹ = 10000¹¹

Directions: Compare the following and put the correct sign (=, < or >) in place of question mark (?).

1) (-4)^-2 ? 3^-2
2) (4)³ ÷ (4)⁶ ? ()²
3) ()^-3 + ()^-3 + ()^-3 ? (3^-2 × 4^-2 × 5^-2)^-1

Directions: State T for true and F for false.

P) A number is said to be in the standard form, if it is expressed as the product of a number between 1 and 10 and the integral power of 10.
Q) (-5)⁵ is smaller than .
R) Very small numbers cannot be expressed in standard form using negative exponents.

Directions: State T for true and F for false.

1. x^a.x^b is equal to x^{a + b}.
2. Standard form of 57,00,00,000 is 5.7 × 10⁸.
3. The base and power in [25 × 4]^-5 is -100 and 5, respectively.
4. 7³ is greater than 5⁴.