Question

Simplify 4a³b² × 3a⁶b⁵​

Answer 1

Answer:

12a^9b^7

Step-by-step explanation:

Multiplying variables of the same base, will require you to add the exponents.

4a^3b^2 * 3a^6b^5

         4*3 =  12

a^3 * a^6 =   a^9

b^2 * b^5 =   b^7

12a^9b^7

Answer 2

Answer:

$12a^{9}b^{7}$

Step-by-step explanation:

$4a^{3} b^{2} \times 3a^{6} b^{5}$

We'll use rule of exponents to simplify the expression:

$4^{1}a^{3}b^{2}\times 3^{1}a^{6}b^{5}$

Use the commutative property of Multiplication:

$4^{1}\times 3^{1}a^{3}a^{6}b^{2}b^{5}$

In order to multiply power of the same base, add their exponents:

$4^{1}\times 3^{1}a^{3+6}b^{2+5}$

Add exponents 2 and 5:

$4^{1}\times 3^{1}a^{9}b^{7}$

Multiply 4 times 3:

$12a^{9}b^{7}$

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