Chapter 7: Q2B. (page 402)

Simplify the expression
$(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t)$

Short Answer

Expert verified

The simplified version of $(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t)$ is $24 r^{6} x^{4} t^{4}$ .

Step by step solution

Step 1. State the multiplication rule of indices.

If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

In general: $x^{m} \times x^{n} = x^{m + n}$

Step 2. Collect the like terms.

In the expression $(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t)$ , first collect the like terms. That is, write the constant terms together and the variables r,x and t together.

$(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t) = (- 4 \times - 6) (r \times r^{5}) (x^{2} \times x^{2}) (t^{3} \times t) \dots (1)$

Step 3. Simplify the expression.

Now apply the multiplication rule inequation (1) and simplify further.

$(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t) = (- 4 \times - 6) (r \times r^{5}) (x^{2} \times x^{2}) (t^{3} \times t) = 24 (r^{1 + 5}) (x^{2 + 2}) (t^{3 + 1}) = 24 (r^{6}) (x^{4}) (t^{4}) = 24 r^{6} x^{4} t^{4}$

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Simplify the expression
$(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t)$

Short Answer

Step by step solution

Step 1. State the multiplication rule of indices.

Step 2. Collect the like terms.

Step 3. Simplify the expression.

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Simplify the expression−4rx2t3−6r5x2t

Short Answer

Step by step solution

Step 1. State the multiplication rule of indices.

Step 2. Collect the like terms.

Step 3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Statistics

Geometry

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify the expression
$(- 4 r x^{2} t^{3}) (- 6 r^{5} x^{2} t)$