Solve 2a^547a-3 - ScanMath

Question

Simplify the expression

94 a^{6} - 3

Evaluate

2 a^{5} \times 47 a - 3

Solution

More Steps

Evaluate

2 a^{5} \times 47 a

Multiply the terms

94 a^{5} \times a

Multiply the terms with the same base by adding their exponents

94 a^{5 + 1}

Add the numbers

94 a^{6}

94 a^{6} - 3

Show Solution

a_{1} = - \frac{6 3 \times 9 4 ^{5}}{94}, a_{2} = \frac{6 3 \times 9 4 ^{5}}{94}

Alternative Form

a_{1} \approx - 0.563204, a_{2} \approx 0.563204

Evaluate

2 a^{5} \times 47 a - 3

To find the roots of the expression,set the expression equal to 0

2 a^{5} \times 47 a - 3 = 0

Multiply

More Steps

Multiply the terms

2 a^{5} \times 47 a

Multiply the terms

94 a^{5} \times a

Multiply the terms with the same base by adding their exponents

94 a^{5 + 1}

Add the numbers

94 a^{6}

94 a^{6} - 3 = 0

Move the constant to the right-hand side and change its sign

94 a^{6} = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

94 a^{6} = 3

Divide both sides

\frac{94 a ^{6}}{94} = \frac{3}{94}

Divide the numbers

a^{6} = \frac{3}{94}

Take the root of both sides of the equation and remember to use both positive and negative roots

a = \pm 6 \frac{3}{94}

Simplify the expression

More Steps

Evaluate

6 \frac{3}{94}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{6 3}{6 94}

Multiply by the Conjugate

\frac{6 3 \times 6 9 4 ^{5}}{6 94 \times 6 9 4 ^{5}}

The product of roots with the same index is equal to the root of the product

\frac{6 3 \times 9 4 ^{5}}{6 94 \times 6 9 4 ^{5}}

Multiply the numbers

More Steps

Evaluate

694 \times 6 9 4^{5}

The product of roots with the same index is equal to the root of the product

6 94 \times 9 4^{5}

Calculate the product

6 9 4^{6}

Reduce the index of the radical and exponent with 6

94

\frac{6 3 \times 9 4 ^{5}}{94}

a = \pm \frac{6 3 \times 9 4 ^{5}}{94}

Separate the equation into 2 possible cases

a = \frac{6 3 \times 9 4 ^{5}}{94} a = - \frac{6 3 \times 9 4 ^{5}}{94}

Solution

a_{1} = - \frac{6 3 \times 9 4 ^{5}}{94}, a_{2} = \frac{6 3 \times 9 4 ^{5}}{94}

Alternative Form

a_{1} \approx - 0.563204, a_{2} \approx 0.563204

Show Solution