Question

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Answer 1

Answer:

a)$e^{3}e^{4}=e^{7}$

b) $(e^{3})^{4}=e^{12}$

c) $(e^{3})^{-2}=e^{-6}$

d) $e^{0}=1$

Step-by-step explanation:

a) Here we can use the product of powers rule: $x^{a}x^{b}=x^{a+b}$

$e^{3}e^{4}=e^{7}$

b) In this ca we use power of a power rule: $(x^{a})^{b}=x^{a*b}$.

$(e^{3})^{4}=e^{12}$

c) We use the same rule above.

$(e^{3})^{-2}=e^{-6}$

d) Finally, we can use zero exponent rule: $x^{0}=1$.

$e^{0}=1$

I hope it helps!