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Fill in the blanks:

When you multiply powers,____ the exponents.
When you divide powers,_____ the exponents.
When you raise a power to a power,_____ multiply the exponents.
Anything to the zero power equals ____.
When you have a negative exponent, _____ it and make it _____.

Respuesta :

When you multiply powers, add the exponents.
When you divide powers, subtract the exponents.
When you raise a power to a power, multiply the exponents.
Anything to the zero power equals one.
When you have a negative exponent, flip it and make it positive.

The given blanks can be filled as:

When you multiply powers, add the exponents.

When you divide powers, subtract the exponents.

When you raise a power to a power, multiply the exponents.

Anything to the zero power equals one.

When you have a negative exponent, flip it and make it positive.

The solutions can be explained as:

1. The exponents are added when the powers are multiplied. For example, if the bases are same, then the exponents are added.

[tex]5^2 \times 5^2\\5^4[/tex]

Thus, the powers are added.

2. The exponents are subtracted when the powers are present in the division, such that:

[tex]2^6 \div 2^5\\\\\dfrac{2^{(6-5)}}{2}\\\\2^1[/tex]

3. The powers are when raised to the powers, the exponents are multiplied, such that:

[tex](2^3)^4\\\\2^{12}[/tex]

4. When a digit or an integer has the power as zero, its value will be equal to 1, such that:

[tex]2^0 =1[/tex].

5. When there is a negative exponent, the numbers are flipped, and is turned positive, such that:

[tex]\dfrac{1}{2^{(-1)}}\\\\\dfrac{2^1}{1}[/tex].

To know more about powers and exponents, refer to the following link:

https://brainly.com/question/15722035