Chapter 7: Q4. (page 430)

Simplify each expression.
$(6 a b^{3} c^{4}) (- 3 a^{2} b^{3} c)$

Short Answer

Expert verified

The required simplified value is represented by $- 18 a^{3} b^{6} c^{5}$ .

Step by step solution

Step 1. Write the variables in a separate parenthesis.

Isolate the variables by using the separate parentheses.

$(6 \cdot (- 3)) (a \cdot a^{2} \cdot b^{3} \cdot b^{3} \cdot c^{4} \cdot c)$

Step 2. Simplify the exponential terms.

Perform addition between the exponents having the same bases.

$- 18 a^{1 + 2} b^{3 + 3} c^{4 + 1} = - 18 a^{3} b^{6} c^{5}$

Step 3. Write the conclusion.

The obtained expression is $- 18 a^{3} b^{6} c^{5}$ which cannot be simplified further so it’s the required simplification.

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Equation	Related Expression	Power of ‘x’	Linear or non linear
$y = x$
$y = x^{2}$
$y = x^{3}$

Simplify each expression.
$(6 a b^{3} c^{4}) (- 3 a^{2} b^{3} c)$

Short Answer

Step by step solution

Step 1. Write the variables in a separate parenthesis.

Step 2. Simplify the exponential terms.

Step 3. Write the conclusion.

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Simplify each expression.(6ab3c4)(−3a2b3c)

Short Answer

Step by step solution

Step 1. Write the variables in a separate parenthesis.

Step 2. Simplify the exponential terms.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Simplify each expression.
$(6 a b^{3} c^{4}) (- 3 a^{2} b^{3} c)$