Solve (ix) - [(- 0.1) ^ 2 * (- 0.1) ^ 3 * (- 0.1) ^ 4] ^ 2 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(ix)-[(-0.1)^{2}(-0.1)^{3}(-0.1)^{4}]^{2}$$

Evaluate

$ix-0.000000000000000001$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $3$ to get $5$.

$$ix-\left(\left(-0.1\right)^{5}\left(-0.1\right)^{4}\right)^{2}$$

To multiply powers of the same base, add their exponents. Add $5$ and $4$ to get $9$.

$$ix-\left(\left(-0.1\right)^{9}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply $9$ and $2$ to get $18$.

$$ix-\left(-0.1\right)^{18}$$

Calculate $-0.1$ to the power of $18$ and get $0.000000000000000001$.

$$ix-0.000000000000000001$$

Expand

$ix-0.000000000000000001$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $3$ to get $5$.

$$ix-\left(\left(-0.1\right)^{5}\left(-0.1\right)^{4}\right)^{2}$$

To multiply powers of the same base, add their exponents. Add $5$ and $4$ to get $9$.

$$ix-\left(\left(-0.1\right)^{9}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply $9$ and $2$ to get $18$.

$$ix-\left(-0.1\right)^{18}$$

Calculate $-0.1$ to the power of $18$ and get $0.000000000000000001$.

$$ix-0.000000000000000001$$