# NCERT Class 9 Mathematics Solutions: Chapter 9 – Algebraic Expressions and Identities Exercise 9.2 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 3**: Complete the table of products:

First monomial Second monomial | 2x | -5y | ||||

- | - | - | - | - | ||

- | - | - | - | - | ||

- | - | - | - | - | - | |

- | - | - | - | - | - | |

- | - | - | - | - | - | |

- | - | - | - | - | - |

**Answer**:

As per exponent “product rule” when multiplying two powers that have the same base add the exponents.

First monomial Second monomial | ||||||

**Question: 4** Obtain the volume rectangular boxes with the following length, breadth and height respectively:

(i)

(ii)

(iii)

(iv)

**Answer**:

Volume of rectangular box

As per exponent “product rule” when multiplying two powers that have the same base add the exponents.

**(i)**

Volume of rectangular box

**(ii)**

Volume of rectangular box

**(iii)**

Volume of rectangular box

**(iv)**

Volume of rectangular box

**Question: 5** Obtain the product of:

(i)

(ii)

(iii)

(iv)

(v)

**Answer**:

As per exponent “product rule” when multiplying two powers that have the same base add the exponents.

(i)

(ii)

(iii)

(iv)

(v)