Question

Identify which property of exponents is defined. (1 point)
Product Rule Quotient Rule Power Rule Zero Exponent Rule
Negative Exponent

Rule

Exponential to Radical

Form

bND÷bTE=bND−TE
𝑏
𝑁
𝐷
÷
𝑏
𝑇
𝐸
=
𝑏
𝑁
𝐷
−
𝑇
𝐸






(bx)y=bxy
(
𝑏
𝑥
)
𝑦
=
𝑏
𝑥
𝑦






bND×bTE=bND+TE
𝑏
𝑁
𝐷
×
𝑏
𝑇
𝐸
=
𝑏
𝑁
𝐷
+
𝑇
𝐸






b0=1
𝑏
0
=
1






bND=bN−−√D
𝑏
𝑁
𝐷
=
𝑏
𝑁
𝐷






bxby=bx−y

Answer 1

Matching each formula to its name:

1) b^(N/D) ÷ b^(T/E) = b^(N/D − T/E) — Quotient Rule
2) (b^x)^y = b^(x y) — Power Rule
3) b^(N/D) × b^(T/E) = b^(N/D + T/E) — Product Rule
4) b^0 = 1 — Zero Exponent Rule
5) b^(N/D) = the Dth root of b^N (i.e. b^(N/D) = (b^N)^(1/D)) — Exponential to Radical Form
6) b^x b^y = b^(x−y) (interpreted as involving negative exponents) — Negative Exponent Rule (equivalently written as b^(−x) = 1/b^x, and b^x b^(−y) = b^(x−y)).