How would I solve this using product of powers property?

When you multiply an exponent directly to a base with an exponent, you multiply the exponents together.

For example:

    Your answer is 5^(12)

The products of powers property means that the same properties of exponents apply for both positive and negative exponents. So (x/y)^m is equal to x^m/y^m would be an example.

Step-by-step explanation:

(5^4)^3

Apply Exponent Rule: 5^4x3

Multiply Numbers: 5^12

Simplify Exponent: 244140625

Hope this helped :)

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°

what i would say the best answer is a. 40.5