Question 1 :
Using laws of exponents, simplify and write the answer in exponential form: $7^x\times7^2$
Question 2 :
Identify the greater number, wherever possible, in each of the following? ${2^{10}}$ or ${10^2}$
Question 3 :
Express as a product of prime factors only in exponential form: 768
Question 5 :
Express the following in exponential form: 5 × 5× 7 × 7 × 7
Question 9 :
Using laws of exponents, simplify and write the answer in exponential form: $8^t\times8^2$
Question 10 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $2^5\times b^5$
Question 11 :
Using laws of exponents, simplify and write the answer in exponential form: $a^3 \times a^2$
Question 13 :
Simplify and write in exponential form: $5^3 × 5^7 × 5^{12}$
Question 16 :
Express each of the following as product of powers of their prime factors: 3600
Question 18 :
Express the following numbers as a product of powers of prime factors: 432
Question 19 :
Identify the greater number, wherever possible, in each of the following? ${5^3}$ or ${3^5}$
Question 20 :
On expanding : $(\frac{-4}{7})^3$ = $\frac{-4 × -4 × -4 }{ 7 × 7 × 7 }$. Is it true or false ?
Question 22 :
Using laws of exponents, simplify and write the answer in exponential form: $a^4 \times b^4$
Question 24 :
Express the number appearing in the statement in standard form: The distance between Earth and Moon is 384,000,000 m.