Laws of Exponents

State the product law of exponents.

State the power law of exponents

State the quotient law of exponents

Simplify or otherwise reduce the following expression using the rules of exponents. 2^(-5)

Simplify or otherwise reduce the following expression using the rules of exponents. 8^(4)(5^(4))

Simplify or otherwise reduce the following expression using the rules of exponents. (7^(6))/(7^(4))

Using the laws exponents, simplify each of the following and express in exponential form : 3^7xx\ 3^(-2) (ii) 2^(-7)-:2^(-3) (iii) (5^2)^(-3) (iv) 2^(-3)xx\ (-7)^(-3) (v) (3^(-5))/(4^(-5))

Write the sum of the exponents of prime factors in the prime factorization of 98.

Prove the rule of exponents (a b)^n=a^n b^n by using principle of mathematical induction for every natural number.

Assertion : The overall order of the reaction is the sum of the exponents of all the reactants in the rate expression. Reason: There are many higher order reactions.