1/64 As A Negative Exponent
1/64 As A Negative Exponent. Any expression that has negative exponents is not considered an expression in its simplest form. However, we know that this can be written as a fraction with denominator 1.
In case, if the given exponent is negative, it represents how many times the number has to be divided. Since from the laws of exponents we have that x−n = 1 xn, it implies that we may write 1 8 = 8−1. Your answer should contain only positive exponents.
In Simple Words, We Write The Reciprocal Of The Number And Then Solve It Like Positive Exponents.
The − 1 superscript can be thought of as saying per or as being the denominator of the fraction. In the case of exponents with the same base, we subtract the exponents: 1) 63 63 2) 62 62 3) 84 84 4) 2−1 1 2 5) 7−2 1 72 6) 52 52 7) 54 ⋅ 5−4 ⋅ 53 53.
To Convert A Negative Exponent, Create A Fraction With The Number 1 As The Numerator (Top Number) And The Base Number As The Denominator (Bottom Number).
But we see that there is no fraction line. What is 1/64 as a number with an exponent. We simply flip the fraction and convert the negative exponent to a positive exponent.
How Do You Write 1 64 Using Negative Exponents?
Create equivalent expressions in the equation that all have equal bases. Since from the laws of exponents we have that x−n = 1 xn, it implies that we may write 1 8 = 8−1. A n × a m = a (n+m) ex:
In Case, If The Given Exponent Is Negative, It Represents How Many Times The Number Has To Be Divided.
Distribute the exponent to numerator and denominator. 1/64 = 64⁻¹ = 8⁻² = = 2⁻⁶. Raise 64 64 to the power of 1 1.
However, We Know That This Can Be Written As A Fraction With Denominator 1.
Powers are useful for expressing large quantities. 1 8 = 1 23 = 2−3. Rewrite 64 64 as 4 3 4 3.
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