Mathematics

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

."}]}