Which rules of exponents will be used to evaluate this expression? Check all that apply. A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent

A: product of powers

B: quotient of powers

E: negative exponent

Step-by-step explanation:

Let's evaluate to see which several rules we would be applying in each step

(power of a power)

(quotient of powers)

(negative exponent)

Thus, the rules of exponents we have applied to far are:

A: product of powers

B: quotient of powers

E: negative exponent

answer: it's a

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°