Simplify the following expression and justify your answer.

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Simplify the following expression and justify your answer. (a) (a) Explain why the statement

x^4 \times x^3 = x^{12}

is incorrect. (b) (b) Write the correct simplified form of

x^4 \times x^3

."}], (c) Find the value of

5^6 \div 5^2

and express your answer as a single power of 5. "},{ (d) Rewrite

(3y^2)^3

in the form

a y^{b}

, where

a

and

b

are integers. "},{ (e) Show that

(ab)^{0}=1

for any non-zero real numbers

a

and

b

."}]}