Chapter 7: Q2. (page 463)

Simplify each expression.
$(5 a^{7} b c^{2}) (- 6 a^{2} b c^{5})$

Short Answer

Expert verified

The expression $(5 a^{7} b c^{2}) (- 6 a^{2} b c^{5})$ can be simplified to $- 30 a^{9} b^{2} c^{7}$ .

Step by step solution

Step 1. Group the coefficients and the variables.

Group the coefficients and variables in the given expression.

$(5) \cdot (- 6) (a^{7} \cdot a^{2}) (b \cdot b) (c^{2} \cdot c^{5})$

Step 2. Write the property of product of powers.

For any real number a and any integers m and n, $a^{m} \cdot a^{n} = a^{m + n}$ .

Step 3. Apply property of product of powers.

Apply the property of product of powers to the expression in step 1.

$- (5 \cdot 6) (a^{7 + 2}) (b^{1 + 1}) (c^{2 + 5})$

Step 4. Simplify obtained expression.

Simplify the obtained expression in step 3.

$- 30 a^{9} b^{2} c^{7}$

Therefore, $(5 a^{7} b c^{2}) (- 6 a^{2} b c^{5})$ can be simplified to $- 30 a^{9} b^{2} c^{7}$ .

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Simplify each expression.
$(5 a^{7} b c^{2}) (- 6 a^{2} b c^{5})$

Short Answer

Step by step solution

Step 1. Group the coefficients and the variables.

Step 2. Write the property of product of powers.

Step 3. Apply property of product of powers.

Step 4. Simplify obtained expression.

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Simplify each expression.5a7bc2−6a2bc5

Short Answer

Step by step solution

Step 1. Group the coefficients and the variables.

Step 2. Write the property of product of powers.

Step 3. Apply property of product of powers.

Step 4. Simplify obtained expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify each expression.
$(5 a^{7} b c^{2}) (- 6 a^{2} b c^{5})$