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What is the exponent of 13x13x13?
The expression 13 x 13 x 13 can be rewritten using exponents as ( 13^3 ). Here, the exponent is 3, indicating that the base, 13, is multiplied by itself three times.
How do you rewrite 2times 5times 5 times 7 with exponents?
To rewrite (2 \times 5 \times 5 \times 7) using exponents, you can express the repeated multiplication of the number 5 as (5^2). Therefore, the expression can be rewritten as (2 \times 5^2 \times 7).
What is 2x3x3x3x5 in exponents?
The expression (2 \times 3 \times 3 \times 3 \times 5) can be rewritten using exponents as (2^1 \times 3^3 \times 5^1). This indicates that 2 is raised to the power of 1, 3 is raised to the power of 3, and 5 is raised to the power of 1.
Why cant a polynomial have a negative exponents?
A polynomial is defined as a mathematical expression consisting of variables raised to non-negative integer exponents and combined using addition, subtraction, and multiplication. Negative exponents would imply division by the variable raised to a positive power, which leads to fractional terms that are not permitted in the definition of polynomials. Thus, having negative exponents would disqualify an expression from being classified as a polynomial.
How do you multiply positive integers with negative exponents?
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.
What is a3 b3?
The expression ( a^3 b^3 ) can be simplified using the property of exponents. It can be rewritten as ( (ab)^3 ), which means that you multiply ( a ) and ( b ) together first, and then raise the result to the third power. This demonstrates how exponents distribute over multiplication.
What is the exponent of 13x13x13?
The expression 13 x 13 x 13 can be rewritten using exponents as ( 13^3 ). Here, the exponent is 3, indicating that the base, 13, is multiplied by itself three times.
How do you rewrite 2times 5times 5 times 7 with exponents?
To rewrite (2 \times 5 \times 5 \times 7) using exponents, you can express the repeated multiplication of the number 5 as (5^2). Therefore, the expression can be rewritten as (2 \times 5^2 \times 7).
How can you generate equivalent expressions using exponents?
The answer depends on what the starting expression is. It is not easy to generate an equivalent expression for trigonometric functions, for example, without using an infinite series of exponents.
How would the expression x^3 +64 be rewritten using Sum of Cubes?
67
What is 2x3x3x3x5 in exponents?
The expression (2 \times 3 \times 3 \times 3 \times 5) can be rewritten using exponents as (2^1 \times 3^3 \times 5^1). This indicates that 2 is raised to the power of 1, 3 is raised to the power of 3, and 5 is raised to the power of 1.
Why cant a polynomial have a negative exponents?
A polynomial is defined as a mathematical expression consisting of variables raised to non-negative integer exponents and combined using addition, subtraction, and multiplication. Negative exponents would imply division by the variable raised to a positive power, which leads to fractional terms that are not permitted in the definition of polynomials. Thus, having negative exponents would disqualify an expression from being classified as a polynomial.
How do you multiply positive integers with negative exponents?
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.
How can the expression 540 plus 7 be rewritten using distributive property?
It cannot be, unless you use extremely complicated fractions.
What is 3 to the -3 exponent using positive exponents?
6
How can the multiplication expression 15 times 11 be rewritten using only prime numbers?
3 x 5 x 11
How are radical expressions related to expressions that contain rational exponents?
Radical expressions and expressions with rational exponents are closely related because they represent the same mathematical concepts. A radical expression, such as √x, can be rewritten using a rational exponent as x^(1/2). Similarly, an expression with a rational exponent, like x^(m/n), can be expressed as a radical, specifically the n-th root of x raised to the m-th power. This interchangeability allows for flexibility in simplifying and manipulating expressions in algebra.
