## Maharashtra State Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 26

Question 1.

Complete the table below:

Sr. No. | Indices (Numbers in index form) | Base | Index | Multiplication form | Value |

i. | 3^{4} |
3 | 4 | 3 x 3 x 3 x 3 | 81 |

ii. | 16^{3} |
||||

iii. | (-8) | 2 | |||

iv. |
\(\frac{3}{7} \times \frac{3}{7} \times \frac{3}{7} \times \frac{3}{7}\) | \(\frac { 81 }{ 2401 }\) | |||

v. | (-13)^{4} |

Solution:

Sr. No. | Indices (Numbers in index form) | Base | Index | Multiplication form | Value |

i. | 3^{4} |
3 | 4 | 3 x 3 x 3 x 3 | 81 |

ii. | 16^{3} |
16 | 3 | 16 x 16 x 16 | 4096 |

iii. | (-8)² | (-8) | 2 | -8 x -8 | 64 |

iv. |
\(\left(\frac{3}{7}\right)^{4}\) | \(\frac { 7 }{ 7 }\) | 4 | \(\frac{3}{7} \times \frac{3}{7} \times \frac{3}{7} \times \frac{3}{7}\) | \(\frac { 81 }{ 2401 }\) |

v. | (-13)^{4} |
-13 | 4 | (-13) x (-13) x (-13) x (-13) | 28561 |

Question 2.

Find the value of.

i. 2^{10}

ii. 5^{3}

iii. (-7)^{4}

iv. (-6)^{3}

v. 9^{3}

vi. 8^{1}

vii. \(\left(\frac{4}{5}\right)^{3}\)

viii. \(\left(-\frac{1}{2}\right)^{4}\)

Solution:

i. 2^{10}

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 1024

ii. 5^{3}

= 5 × 5 × 5

= 125

iii. (-7)^{4}

= (-7) × (-7) × (-7) × (-7)

= 2401

iv. (-6)^{3}

= (-6) × (-6) × (-6)

= -216

v. 9^{3}

= 9 × 9 × 9

= 729

vi. 8^{1}

= 8

vii. \(\left(\frac{4}{5}\right)^{3}\)

\(=\frac{4}{5} \times \frac{4}{5} \times \frac{4}{5}=\frac{64}{125}\)

viii. \(\left(-\frac{1}{2}\right)^{4}\)

\(=\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right)=\frac{1}{16}\)