Question

Find 16 x 64, without actual multiplication, using exponents.

Answer 1

hello

here's your answer

16 = 4^2

64 = 4^3

= 4^2 x 4^3

= 4^ (2+3)

=4 ^5

= 4 x 4 x 4 x 4 x 4 = 1024.

Answer 2

Alternative solution  We know that 2^4 is 16 and  2^6 is 64   16 × 64 = 2^4 × 2^6  When base are same powers are added  4+6=10  2^10=1024