[(-3)²]³ is equal to
a. (-3)⁸
b. (-3)⁶
c. (-3)⁵
d. (-3)²³

Solution:

Given

[(-3)²] ³

We know that

If ‘a’ is a rational number and if m and n are natural numbers

(a^m)ⁿ = a^{m × n}

So we get

[(-3)²] ³ = (-3)^{2 × 3}

= (-3)⁶

Therefore, [(-3)²] ³ is equal to (-3)⁶.

✦ Try This: [(-4)⁴] ³ is equal to

Given

[(-4)⁴] ³

We know that

If ‘a’ is a rational number and if m and n are natural numbers

(a^m)ⁿ = a^{m × n}

So we get

[(-4)⁴]³ = (-4)^{4 × 3}

= (-4)¹²

Therefore, [(-4)⁴] ³ is equal to (-4)¹²

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

---

NCERT Exemplar Class 7 Maths Chapter 11 Problem 1

[(-3)²] ³ is equal to: a. (-3)⁸, b. (-3)⁶, c. (-3)⁵, d. (-3)²³

Summary:

[(-3)²] ³ is equal to (-3)⁶.

---

☛ Related Questions:

• For a non-zero rational number x, x8 ÷ x2 is equal to a. x4, b. x6, c. x10, d. x16
• x is a non-zero rational number. Product of the square of x with the cube of x is equal to the: a. s . . . .
• For any two non-zero rational numbers x and y, x5 ÷ y5 is equal to: a. (x÷y)1, b. (x÷y)0, c. (x÷y)5, . . . .