Solve a^21 a^22 b1 b2 b11 b12 b^21 b^22 b^31 b^32

Evaluate

a^{2} \times 1 \times a^{2} \times 2 b \times 1 \times b \times 2 b \times 11 b \times 12 b^{2} \times 1 \times b^{2} \times 2 b^{3} \times 1 \times b^{3} \times 2

Rewrite the expression in exponential form

a^{2} \times 1 \times a^{2} \times 2^{4} b^{4} \times 1 \times 11 \times 12 b^{2} \times 1 \times b^{2} \times b^{3} \times 1 \times b^{3}

Rewrite the expression

a^{2} \times a^{2} \times 2^{4} b^{4} \times 11 \times 12 b^{2} \times b^{2} \times b^{3} \times b^{3}

Multiply the terms with the same base by adding their exponents

a^{2 + 2} \times 2^{4} b^{4} \times 11 \times 12 b^{2} \times b^{2} \times b^{3} \times b^{3}

Add the numbers

a^{4} \times 2^{4} b^{4} \times 11 \times 12 b^{2} \times b^{2} \times b^{3} \times b^{3}

Multiply the terms with the same base by adding their exponents

a^{4} \times 2^{4} b^{4 + 2 + 2 + 3 + 3} \times 11 \times 12

Add the numbers

a^{4} \times 2^{4} b^{14} \times 11 \times 12

Multiply the terms

a^{4} \times 2^{4} b^{14} \times 132

Use the commutative property to reorder the terms

2^{4} a^{4} b^{14} \times 132

Evaluate the power

16 a^{4} b^{14} \times 132

Solution

2112 a^{4} b^{14}

Simplify the expression