Answer:
The Product of Powers property allows you to rewrite [tex]x^a\times x^b=x^{a+b}[/tex].
Step-by-step explanation:
We are given that,
The property allows us to write, [tex]x^a\times x^b=x^{a+b}[/tex]
It is required to know the corresponding property.
As, we see that,
The expression involves the product of terms having same base resulting in the addition of the powers.
So, we have that,
The corresponding property is 'Product of Powers'.
Hence, the complete statement is,
The Product of Powers property allows you to rewrite [tex]x^a\times x^b=x^{a+b}[/tex].
The product of the Powers property [tex]\large{\boxed{\bold{x^a\times\:x^b=x^{a+b}}}[/tex]
In general, we are dealing with numbers that can have large or small numbers
This exponent number was originally used as a multiple product
Exponent numbers are usually used in scientific notation. Scientific notation is used to express very large / small numbers
Exponent notation is used to write the product of repeated numbers in a simple form.
The exponent form function is to simplify writing and mention of a number that has the same multiplication factors
Exponents Number Operations
Exponents Number can be
General properties of numbers:
• 1. aᵇ x aⁿ = aᵇ⁺ⁿ
• 2. aᵇ: aⁿ = aᵇ⁻ⁿ, a ≠ 0
• 3. a⁻ᵇ = 1 / aᵇ, a ≠ 0
• 4. (aᵇ) ⁿ = aᵇⁿ
aⁿ: rank number
Exponent numbers show multiplication of the same factor
In the exponent there are base numbers and exponents / power / indexs
the exponent is written as a small number to the right and above the base number
Example: 7³ = 7 × 7 × 7 = 343
At number 7³, number 7 is called base and 3 is called exponent / power
7³if stated in sentence:
7 to the third power "," 7 to the power 3 "or" 7 cubed "
Multiplication
If two exponents have the same base we can add the exponent
[tex]x^a\:\times x^b = x^{a+b}[/tex]
Example
7²⋅7³ = 7² + 5 = 7 x 7
Division
If two exponents have the same base we can divide the exponent
[tex]x^a\:\divided x^b = x^{a-b}[/tex]
So:
The product of the Powers property allows you to rewrite [tex]x^a\:\times x^b = x^{a+b}[/tex]
the value of x makes this equation true
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the answer to the following calculation:
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expression is equivalent to
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Keywords: exponent, base, multiplication
