


Power Lines
Last updated at Aug. 18, 2025 by Teachoo
Transcript
Power Lines Let us arrange the powers of 4 along a line. Power is decreasing as we go down 4^8 - 65536 4^7 - 16384 4^6 - 4096 4^5 - 1024 4^4 - 256 4^3 - 64 4^2 - 16 4^1 - 4 4^0 - 1 4^(-1) - 1/4 Now, letβs to try to understand different ways we can use the power line = π^(πβ(βπ) ) = 4^(2+2) = π^π Thus, 42 is 44 times larger than 4β2 Letβs answer some questions Can we say that 16384 (47) is 16 (42) times larger than 1,024 (45)? Now, 47 is larger than 45 = 4^7/4^5 = π^(πβπ) = 4^2 Thus, 47 is 42 times larger than 45 Another question How many times larger than 4β2 is 42? Now, 42 is larger than 4β2 = 4^2/4^(β2)