Shalini splits a square into 2² equal squares (thick orange lines). She splits each of those into 2² equal squares (dark lines), and then does it once more (thin grey lines). So the number of smallest squares is (2²)³. Which single power is this?

Question

Accepted Answer

2⁶. Each split multiplies the count by 2^2, three times: (2^2)^3 = 2^2 × 3 = 2^6 = 64. Check: the grid is 8 by 8.

Shalini splits a square into $2^{2}$ equal squares (thick orange lines). She splits each of those into $2^{2}$ equal squares (dark lines), and then does it once more (thin grey lines). So the number of smallest squares is $(2^{2})^{3}$ . Which single power is this?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Laws of Exponents practice

Shalini splits a square into 22 equal squares (thick orange lines). She splits each of those into 22 equal squares (dark lines), and then does it once more (thin grey lines). So the number of smallest squares is (22)3. Which single power is this?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Laws of Exponents practice

Shalini splits a square into $2^{2}$ equal squares (thick orange lines). She splits each of those into $2^{2}$ equal squares (dark lines), and then does it once more (thin grey lines). So the number of smallest squares is $(2^{2})^{3}$ . Which single power is this?