To simplify a complex fraction, first rewrite it as a single fraction by finding a common denominator for the numerator and denominator, if necessary. Then, combine the fractions in both the numerator and denominator. Next, simplify the resulting fraction by factoring and canceling any common factors. Finally, ensure that the fraction is in its simplest form.
No, but you can rewrite it as an expression with exponents if you want.
To solve equations with negative exponents and different bases, first rewrite each term with a positive exponent by applying the rule (a^{-n} = \frac{1}{a^n}). This may involve moving terms across the equation. Once all terms have positive exponents, you can simplify or solve the equation by isolating the variable or using logarithms, if necessary. Finally, check for extraneous solutions, especially if you manipulated the equation significantly.
192 = 361
To write an expression using a single exponent, you can apply the properties of exponents to combine terms. For instance, if you have (a^m \times a^n), you can rewrite it as (a^{m+n}). Similarly, if you have a fraction like (\frac{a^m}{a^n}), it can be expressed as (a^{m-n}). By using these properties, you can simplify expressions to a single exponential form.
To multiply positive integers with negative exponents, first rewrite the expression using the property of exponents that states (a^{-n} = \frac{1}{a^n}). For example, if you have (3 \times 5^{-2}), you can express it as (3 \times \frac{1}{5^2}), which simplifies to (\frac{3}{25}). This method effectively converts the multiplication of a positive integer by a term with a negative exponent into a division operation.
you have to put a one under that number and then rewrite it and when dividing you actually multiply and maybe simplify if not then your done.
When multiplying a fraction by a whole number, you should rewrite the whole number as a fraction. Do this by placing the number over a denominator of one.
To express 1.86 as a fraction, we first need to consider the decimal places. Since there are two decimal places in 1.86, we can rewrite it as 186/100. Next, we simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. Therefore, 1.86 as a fraction is 93/50.
1
1/4
4/100