Question

Use the product rule of exponents to simplify 5 to the tenth power times 5 to the fifth power

Answer 1

Use the product rule of exponents to simplify 5 to the tenth power times 5 to the fifth power whats the answer

Answer 2

whats the missing exponent in the missing question

h450/h? = h215 answer?

Answer 3

simplify 12 to the 87th power divided by 12 to the 25th power

Answer 4

To simplify 5 to the tenth power times 5 to the fifth power using the product rule of exponents, we add the exponents since the bases are the same.

5^10 * 5^5 = 5^(10+5) = 5^15

Therefore, 5 to the tenth power times 5 to the fifth power is equal to 5 to the fifteenth power.

Answer 5

Using the product rule of exponents, when multiplying two exponents with the same base, you add the exponents. Therefore,

5^10 * 5^5 = 5^(10 + 5) = 5^15.

So, the simplified form is 5 to the fifteenth power.

Answer 6

To find the missing exponent in the question h450/h?, we can use the quotient rule of exponents. According to this rule, when dividing two exponents with the same base, we subtract the exponent in the denominator from the exponent in the numerator.

So, h450/h? = h^(450-?)

The answer h^(215) is given, so we can set up an equation:

450 - ? = 215

Solving this equation will give us the value of the missing exponent:

? = 450 - 215
? = 235

Therefore, the missing exponent in the question is 235.

Answer 7

To simplify 12 to the 87th power divided by 12 to the 25th power, we can use the quotient rule of exponents.

According to the quotient rule, when dividing two exponents with the same base, we subtract the exponent in the denominator from the exponent in the numerator.

So, \(\frac{12^{87}}{12^{25}} = 12^{87 - 25} = 12^{62}\)

Therefore, the simplified form is \(12^{62}\)