Chapter 7: Q2A. (page 402)

Simplify the expression
$(3 y^{4}) (7 y^{5})$

Short Answer

Expert verified

The simplified version of $(3 y^{4}) (7 y^{5})$ is $21 y^{9}$

Step by step solution

Step 1. State the multiplication rule of Law 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 $(3 y^{4}) (7 y^{5})$ , first collect the like terms. That is, write the constant terms together and the variable ‘y’ together.

$(3 y^{4}) (7 y^{5}) = (3 \times 7) (y^{4} \times y^{5}) \dots (1)$

Step 3. Simplify the expression.

Now apply multiplication rule in $(y^{4} \times y^{5})$ .

$y^{4} \times y^{5} = y^{9}$

Substitute $y^{4} \times y^{5} = y^{9}$ value in (1) for further simplification.

$(3 y^{4}) (7 y^{5}) = (3 \times 7) (y^{9}) = 21 y^{9}$

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Simplify the expression
$(3 y^{4}) (7 y^{5})$

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Collect the like terms.

Step 3. Simplify the expression.

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Short Answer

Step by step solution

Step 1. State the multiplication rule of Law 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

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Simplify the expression
$(3 y^{4}) (7 y^{5})$