Question

Simplify i) a ^ 2 * b ^ 2 * a ^ 5 * b ^ 2​

Answer 1

Answer:

a^7 * b^7 or [ab]^7

Step-by-step explanation:

i) a ^ 2 * b ^ 2 * a ^ 5 * b ^ 2​

= a^2 * a^5 * b^2 * b^5

= a^2+5 * b^2+5

= a^7 * b^7 or [ab]^7

Answer 2

To simplify :  $a^{2}\times b^{2}\times a^{5} \times b^{2}$

Solution :

• To solve the above simplification we use" Product of powers rule of exponent "
• The law state that if there are terms with same base having different exponents then we need to add exponents keeping the base same .
• Hence , applying this property to given expression we get ,

        $a^{2}\times b^{2}\times a^{5} \times b^{2}$ $= a^{(2 + 5 ) } \times b^{(2 +2)}$

                                   $= a^{7} \times b^{4}$

     Hence , on simplification of  $a^{2}\times b^{2}\times a^{5} \times b^{2}$ we get,  $a^{7} \times b^{4}$ .