Question

Express 64³ as a power with base 4 and 2.​

Answer 1

Answer:

• $64^3 = 4^9$
• $64^3 = 2^{18}$

Step-by-step explanation:

Express 64³ as a power with base 4.

We know that 4 ×4 × 4 = 64

$4^3 = 64$

$64^3 = (4^3)^3$

$= 4^{3 \times 3} [ (a^m)^n = a^{m \times n}]\\= 4^9\\64^3 = 4^9$

Express 64³ as a power with base 2.​

We know that $2 \times2 \times 2 \times 2 \times 2 \times 2 =64$

$2^6 = 64\\64^3 = (2^6)^3\\= 2^{6 \times 3}\\= 2^{18}\\64^3 = 2^{18}$

Answer 2

• → Hope it helps you!

I think you are 8th class becuase this is the question from the 8th maths SA -1 exam paper!